Appendix B:
Tables
TABLE 1
CumulATive ProBABiliTies for The sTAndArd normAl
disTriBuTion
Entries in the table
give the area under the
curve to the left of the
z value. For example, for
z = –.85, the cumulative
probability is .1977.
Cumulative
probability
0
z
94160_appB_ptg01.indd 976
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
−3.0
.0013
.0013
.0013
.0012
.0012
.0011
.0011
.0011
.0010
.0010
−2.9
−2.8
−2.7
−2.6
−2.5
.0019
.0026
.0035
.0047
.0062
.0018
.0025
.0034
.0045
.0060
.0018
.0024
.0033
.0044
.0059
.0017
.0023
.0032
.0043
.0057
.0016
.0023
.0031
.0041
.0055
.0016
.0022
.0030
.0040
.0054
.0015
.0021
.0029
.0039
.0052
.0015
.0021
.0028
.0038
.0051
.0014
.0020
.0027
.0037
.0049
.0014
.0019
.0026
.0036
.0048
−2.4
−2.3
−2.2
−2.1
−2.0
.0082
.0107
.0139
.0179
.0228
.0080
.0104
.0136
.0174
.0222
.0078
.0102
.0132
.0170
.0217
.0075
.0099
.0129
.0166
.0212
.0073
.0096
.0125
.0162
.0207
.0071
.0094
.0122
.0158
.0202
.0069
.0091
.0119
.0154
.0197
.0068
.0089
.0116
.0150
.0192
.0066
.0087
.0113
.0146
.0188
.0064
.0084
.0110
.0143
.0183
−1.9
−1.8
−1.7
−1.6
−1.5
.0287
.0359
.0446
.0548
.0668
.0281
.0351
.0436
.0537
.0655
.0274
.0344
.0427
.0526
.0643
.0268
.0336
.0418
.0516
.0630
.0262
.0329
.0409
.0505
.0618
.0256
.0322
.0401
.0495
.0606
.0250
.0314
.0392
.0485
.0594
.0244
.0307
.0384
.0475
.0582
.0239
.0301
.0375
.0465
.0571
.0233
.0294
.0367
.0455
.0559
−1.4
−1.3
−1.2
−1.1
−1.0
.0808
.0968
.1151
.1357
.1587
.0793
.0951
.1131
.1335
.1562
.0778
.0934
.1112
.1314
.1539
.0764
.0918
.1093
.1292
.1515
.0749
.0901
.1075
.1271
.1492
.0735
.0885
.1056
.1251
.1469
.0721
.0869
.1038
.1230
.1446
.0708
.0853
.1020
.1210
.1423
.0694
.0838
.1003
.1190
.1401
.0681
.0823
.0985
.1170
.1379
−.9
−.8
−.7
−.6
−.5
.1841
.2119
.2420
.2743
.3085
.1814
.2090
.2389
.2709
.3050
.1788
.2061
.2358
.2676
.3015
.1762
.2033
.2327
.2643
.2981
.1736
.2005
.2296
.2611
.2946
.1711
.1977
.2266
.2578
.2912
.1685
.1949
.2236
.2546
.2877
.1660
.1922
.2206
.2514
.2843
.1635
.1894
.2177
.2483
.2810
.1611
.1867
.2148
.2451
.2776
−.4
−.3
−.2
−.1
−.0
.3446
.3821
.4207
.4602
.5000
.3409
.3783
.4168
.4562
.4960
.3372
.3745
.4129
.4522
.4920
.3336
.3707
.4090
.4483
.4880
.3300
.3669
.4052
.4443
.4840
.3264
.3632
.4013
.4404
.4801
.3228
.3594
.3974
.4364
.4761
.3192
.3557
.3936
.4325
.4721
.3156
.3520
.3897
.4286
.4681
.3121
.3483
.3859
.4247
.4641
26/11/16 10:36 AM
Appendix B
TABLE 1
977
Tables
CumulATive ProBABiliTies for The sTAndArd normAl
disTriBuTion (Continued )
Cumulative
probability
0
94160_appB_ptg01.indd 977
Entries in the table
give the area under the
curve to the left of the
z value. For example, for
z = 1.25, the cumulative
probability is .8944.
z
z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0
.1
.2
.3
.4
.5000
.5398
.5793
.6179
.6554
.5040
.5438
.5832
.6217
.6591
.5080
.5478
.5871
.6255
.6628
.5120
.5517
.5910
.6293
.6664
.5160
.5557
.5948
.6331
.6700
.5199
.5596
.5987
.6368
.6736
.5239
.5636
.6026
.6406
.6772
.5279
.5675
.6064
.6443
.6808
.5319
.5714
.6103
.6480
.6844
.5359
.5753
.6141
.6517
.6879
.5
.6
.7
.8
.9
.6915
.7257
.7580
.7881
.8159
.6950
.7291
.7611
.7910
.8186
.6985
.7324
.7642
.7939
.8212
.7019
.7357
.7673
.7967
.8238
.7054
.7389
.7704
.7995
.8264
.7088
.7422
.7734
.8023
.8289
.7123
.7454
.7764
.8051
.8315
.7157
.7486
.7794
.8078
.8340
.7190
.7517
.7823
.8106
.8365
.7224
.7549
.7852
.8133
.8389
1.0
1.1
1.2
1.3
1.4
.8413
.8643
.8849
.9032
.9192
.8438
.8665
.8869
.9049
.9207
.8461
.8686
.8888
.9066
.9222
.8485
.8708
.8907
.9082
.9236
.8508
.8729
.8925
.9099
.9251
.8531
.8749
.8944
.9115
.9265
.8554
.8770
.8962
.9131
.9279
.8577
.8790
.8980
.9147
.9292
.8599
.8810
.8997
.9162
.9306
.8621
.8830
.9015
.9177
.9319
1.5
1.6
1.7
1.8
1.9
.9332
.9452
.9554
.9641
.9713
.9345
.9463
.9564
.9649
.9719
.9357
.9474
.9573
.9656
.9726
.9370
.9484
.9582
.9664
.9732
.9382
.9495
.9591
.9671
.9738
.9394
.9505
.9599
.9678
.9744
.9406
.9515
.9608
.9686
.9750
.9418
.9525
.9616
.9693
.9756
.9429
.9535
.9625
.9699
.9761
.9441
.9545
.9633
.9706
.9767
2.0
2.1
2.2
2.3
2.4
.9772
.9821
.9861
.9893
.9918
.9778
.9826
.9864
.9896
.9920
.9783
.9830
.9868
.9898
.9922
.9788
.9834
.9871
.9901
.9925
.9793
.9838
.9875
.9904
.9927
.9798
.9842
.9878
.9906
.9929
.9803
.9846
.9881
.9909
.9931
.9808
.9850
.9884
.9911
.9932
.9812
.9854
.9887
.9913
.9934
.9817
.9857
.9890
.9916
.9936
2.5
2.6
2.7
2.8
2.9
.9938
.9953
.9965
.9974
.9981
.9940
.9955
.9966
.9975
.9982
.9941
.9956
.9967
.9976
.9982
.9943
.9957
.9968
.9977
.9983
.9945
.9959
.9969
.9977
.9984
.9946
.9960
.9970
.9978
.9984
.9948
.9961
.9971
.9979
.9985
.9949
.9962
.9972
.9979
.9985
.9951
.9963
.9973
.9980
.9986
.9952
.9964
.9974
.9981
.9986
3.0
.9987
.9987
.9987
.9988
.9988
.9989
.9989
.9989
.9990
.9990
26/11/16 10:36 AM
978
Appendix B
TABLE 2
Tables
t disTriBuTion
0
94160_appB_ptg01.indd 978
t
Area or
probability entries in the table give t values for an area
or probability in the upper tail of the t
distribution. for example, with 10 degrees
of freedom and a .05 area in the upper tail,
t.05 ∙ 1.812.
Area in Upper Tail
Degrees
of Freedom
.20
.10
.05
.025
.01
.005
1
2
3
4
1.376
1.061
.978
.941
3.078
1.886
1.638
1.533
6.314
2.920
2.353
2.132
12.706
4.303
3.182
2.776
31.821
6.965
4.541
3.747
63.656
9.925
5.841
4.604
5
6
7
8
9
.920
.906
.896
.889
.883
1.476
1.440
1.415
1.397
1.383
2.015
1.943
1.895
1.860
1.833
2.571
2.447
2.365
2.306
2.262
3.365
3.143
2.998
2.896
2.821
4.032
3.707
3.499
3.355
3.250
10
11
12
13
14
.879
.876
.873
.870
.868
1.372
1.363
1.356
1.350
1.345
1.812
1.796
1.782
1.771
1.761
2.228
2.201
2.179
2.160
2.145
2.764
2.718
2.681
2.650
2.624
3.169
3.106
3.055
3.012
2.977
15
16
17
18
19
.866
.865
.863
.862
.861
1.341
1.337
1.333
1.330
1.328
1.753
1.746
1.740
1.734
1.729
2.131
2.120
2.110
2.101
2.093
2.602
2.583
2.567
2.552
2.539
2.947
2.921
2.898
2.878
2.861
20
21
22
23
24
.860
.859
.858
.858
.857
1.325
1.323
1.321
1.319
1.318
1.725
1.721
1.717
1.714
1.711
2.086
2.080
2.074
2.069
2.064
2.528
2.518
2.508
2.500
2.492
2.845
2.831
2.819
2.807
2.797
25
26
27
28
29
.856
.856
.855
.855
.854
1.316
1.315
1.314
1.313
1.311
1.708
1.706
1.703
1.701
1.699
2.060
2.056
2.052
2.048
2.045
2.485
2.479
2.473
2.467
2.462
2.787
2.779
2.771
2.763
2.756
30
31
32
33
34
.854
.853
.853
.853
.852
1.310
1.309
1.309
1.308
1.307
1.697
1.696
1.694
1.692
1.691
2.042
2.040
2.037
2.035
2.032
2.457
2.453
2.449
2.445
2.441
2.750
2.744
2.738
2.733
2.728
26/11/16 10:36 AM
979
Appendix B Tables
TABLE 2
94160_appB_ptg01.indd 979
t disTriBuTion (Continued)
Area in Upper Tail
Degrees
of Freedom
.20
.10
.05
.025
.01
.005
35
36
37
38
39
.852
.852
.851
.851
.851
1.306
1.306
1.305
1.304
1.304
1.690
1.688
1.687
1.686
1.685
2.030
2.028
2.026
2.024
2.023
2.438
2.434
2.431
2.429
2.426
2.724
2.719
2.715
2.712
2.708
40
41
42
43
44
.851
.850
.850
.850
.850
1.303
1.303
1.302
1.302
1.301
1.684
1.683
1.682
1.681
1.680
2.021
2.020
2.018
2.017
2.015
2.423
2.421
2.418
2.416
2.414
2.704
2.701
2.698
2.695
2.692
45
46
47
48
49
.850
.850
.849
.849
.849
1.301
1.300
1.300
1.299
1.299
1.679
1.679
1.678
1.677
1.677
2.014
2.013
2.012
2.011
2.010
2.412
2.410
2.408
2.407
2.405
2.690
2.687
2.685
2.682
2.680
50
51
52
53
54
.849
.849
.849
.848
.848
1.299
1.298
1.298
1.298
1.297
1.676
1.675
1.675
1.674
1.674
2.009
2.008
2.007
2.006
2.005
2.403
2.402
2.400
2.399
2.397
2.678
2.676
2.674
2.672
2.670
55
56
57
58
59
.848
.848
.848
.848
.848
1.297
1.297
1.297
1.296
1.296
1.673
1.673
1.672
1.672
1.671
2.004
2.003
2.002
2.002
2.001
2.396
2.395
2.394
2.392
2.391
2.668
2.667
2.665
2.663
2.662
60
61
62
63
64
.848
.848
.847
.847
.847
1.296
1.296
1.295
1.295
1.295
1.671
1.670
1.670
1.669
1.669
2.000
2.000
1.999
1.998
1.998
2.390
2.389
2.388
2.387
2.386
2.660
2.659
2.657
2.656
2.655
65
66
67
68
69
.847
.847
.847
.847
.847
1.295
1.295
1.294
1.294
1.294
1.669
1.668
1.668
1.668
1.667
1.997
1.997
1.996
1.995
1.995
2.385
2.384
2.383
2.382
2.382
2.654
2.652
2.651
2.650
2.649
70
71
72
73
74
.847
.847
.847
.847
.847
1.294
1.294
1.293
1.293
1.293
1.667
1.667
1.666
1.666
1.666
1.994
1.994
1.993
1.993
1.993
2.381
2.380
2.379
2.379
2.378
2.648
2.647
2.646
2.645
2.644
75
76
77
78
79
.846
.846
.846
.846
.846
1.293
1.293
1.293
1.292
1.292
1.665
1.665
1.665
1.665
1.664
1.992
1.992
1.991
1.991
1.990
2.377
2.376
2.376
2.375
2.374
2.643
2.642
2.641
2.640
2.639
26/11/16 10:36 AM
980
Appendix B
TABLE 2
94160_appB_ptg01.indd 980
Tables
t disTriBuTion (Continued)
Area in Upper Tail
Degrees
of Freedom
.20
.10
.05
.025
.01
.005
80
81
82
83
84
.846
.846
.846
.846
.846
1.292
1.292
1.292
1.292
1.292
1.664
1.664
1.664
1.663
1.663
1.990
1.990
1.989
1.989
1.989
2.374
2.373
2.373
2.372
2.372
2.639
2.638
2.637
2.636
2.636
85
86
87
88
89
.846
.846
.846
.846
.846
1.292
1.291
1.291
1.291
1.291
1.663
1.663
1.663
1.662
1.662
1.988
1.988
1.988
1.987
1.987
2.371
2.370
2.370
2.369
2.369
2.635
2.634
2.634
2.633
2.632
90
91
92
93
94
.846
.846
.846
.846
.845
1.291
1.291
1.291
1.291
1.291
1.662
1.662
1.662
1.661
1.661
1.987
1.986
1.986
1.986
1.986
2.368
2.368
2.368
2.367
2.367
2.632
2.631
2.630
2.630
2.629
95
96
97
98
99
100
`
.845
.845
.845
.845
.845
.845
.842
1.291
1.290
1.290
1.290
1.290
1.290
1.282
1.661
1.661
1.661
1.661
1.660
1.660
1.645
1.985
1.985
1.985
1.984
1.984
1.984
1.960
2.366
2.366
2.365
2.365
2.364
2.364
2.326
2.629
2.628
2.627
2.627
2.626
2.626
2.576
26/11/16 10:36 AM
Appendix B
TABLE 3
981
Tables
Chi-sQuAre disTriBuTion
Area or
probability
xa2
entries in the table give xa2 values, where a is the area or probability in the upper tail of the chi-square distribution.
2
for example, with 10 degrees of freedom and a .01 area in the upper tail, x.01
∙ 23.209.
Degrees
of Freedom
Area in Upper Tail
.995
.99
.975
.95
.90
.10
.05
.025
.01
.005
1
2
3
4
5
.000
.010
.072
.207
.412
.000
.020
.115
.297
.554
.001
.051
.216
.484
.831
.004
.103
.352
.711
1.145
.016
.211
.584
1.064
1.610
2.706
4.605
6.251
7.779
9.236
3.841
5.991
7.815
9.488
11.070
5.024
7.378
9.348
11.143
12.832
6.635
9.210
11.345
13.277
15.086
7.879
10.597
12.838
14.860
16.750
6
7
8
9
10
.676
.989
1.344
1.735
2.156
.872
1.239
1.647
2.088
2.558
1.237
1.690
2.180
2.700
3.247
1.635
2.167
2.733
3.325
3.940
2.204
2.833
3.490
4.168
4.865
10.645
12.017
13.362
14.684
15.987
12.592
14.067
15.507
16.919
18.307
14.449
16.013
17.535
19.023
20.483
16.812
18.475
20.090
21.666
23.209
18.548
20.278
21.955
23.589
25.188
11
12
13
14
15
2.603
3.074
3.565
4.075
4.601
3.053
3.571
4.107
4.660
5.229
3.816
4.404
5.009
5.629
6.262
4.575
5.226
5.892
6.571
7.261
5.578
6.304
7.041
7.790
8.547
17.275
18.549
19.812
21.064
22.307
19.675
21.026
22.362
23.685
24.996
21.920
23.337
24.736
26.119
27.488
24.725
26.217
27.688
29.141
30.578
26.757
28.300
29.819
31.319
32.801
16
17
18
19
20
5.142
5.697
6.265
6.844
7.434
5.812
6.408
7.015
7.633
8.260
6.908
7.564
8.231
8.907
9.591
7.962
8.672
9.390
10.117
10.851
9.312
10.085
10.865
11.651
12.443
23.542
24.769
25.989
27.204
28.412
26.296
27.587
28.869
30.144
31.410
28.845
30.191
31.526
32.852
34.170
32.000
33.409
34.805
36.191
37.566
34.267
35.718
37.156
38.582
39.997
21
22
23
24
8.034
8.643
9.260
9.886
8.897
9.542
10.196
10.856
10.283
10.982
11.689
12.401
11.591
12.338
13.091
13.848
13.240
14.041
14.848
15.659
29.615
30.813
32.007
33.196
32.671
33.924
35.172
36.415
35.479
36.781
38.076
39.364
38.932
40.289
41.638
42.980
41.401
42.796
44.181
45.558
25
26
27
28
29
10.520
11.160
11.808
12.461
13.121
11.524
12.198
12.878
13.565
14.256
13.120
13.844
14.573
15.308
16.047
14.611
15.379
16.151
16.928
17.708
16.473
17.292
18.114
18.939
19.768
34.382
35.563
36.741
37.916
39.087
37.652
38.885
40.113
41.337
42.557
40.646
41.923
43.195
44.461
45.722
44.314
45.642
46.963
48.278
49.588
46.928
48.290
49.645
50.994
52.335
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982
Appendix B
TABLE 3
Tables
Chi-sQuAre disTriBuTion (Continued)
Area in Upper Tail
Degrees
of Freedom
.995
.99
.975
.95
.90
.10
.05
.025
.01
.005
30
35
40
45
50
13.787
17.192
20.707
24.311
27.991
14.953
18.509
22.164
25.901
29.707
16.791
20.569
24.433
28.366
32.357
18.493
22.465
26.509
30.612
34.764
20.599
24.797
29.051
33.350
37.689
40.256
46.059
51.805
57.505
63.167
43.773
49.802
55.758
61.656
67.505
46.979
53.203
59.342
65.410
71.420
50.892
57.342
63.691
69.957
76.154
53.672
60.275
66.766
73.166
79.490
55
60
65
70
75
31.735
35.534
39.383
43.275
47.206
33.571
37.485
41.444
45.442
49.475
36.398
40.482
44.603
48.758
52.942
38.958
43.188
47.450
51.739
56.054
42.060
46.459
50.883
55.329
59.795
68.796
74.397
79.973
85.527
91.061
73.311
79.082
84.821
90.531
96.217
77.380
83.298
89.177
95.023
100.839
82.292
88.379
94.422
100.425
106.393
85.749
91.952
98.105
104.215
110.285
80
85
90
95
100
51.172
55.170
59.196
63.250
67.328
53.540
57.634
61.754
65.898
70.065
57.153
61.389
65.647
69.925
74.222
60.391
64.749
69.126
73.520
77.929
64.278
68.777
73.291
77.818
82.358
96.578
102.079
107.565
113.038
118.498
101.879
107.522
113.145
118.752
124.342
106.629
112.393
118.136
123.858
129.561
112.329
118.236
124.116
129.973
135.807
116.321
122.324
128.299
134.247
140.170
94160_appB_ptg01.indd 982
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94160_appB_ptg01.indd 983
TABLE 4
F disTriBuTion
Area or
probability
0
Fa
entries in the table give Fa values, where a is the area or probability in the upper tail of the F distribution. for example, with 4 numerator degrees of freedom,
8 denominator degrees of freedom, and a .05 area in the upper tail, F.05 ∙ 3.84.
Denominator
Degrees
Area in
Upper
of Freedom
Tail
Numerator Degrees of Freedom
1
2
3
4
5
6
7
8
58.91
59.44
236.77 238.88
948.20 956.64
5928.33 5980.95
9
10
15
20
25
30
40
60
59.86
240.54
963.28
6022.40
60.19
241.88
968.63
6055.93
61.22
245.95
984.87
6156.97
61.74
248.02
993.08
6208.66
62.05
249.26
998.09
6239.86
62.26
250.10
1001.40
6260.35
62.53
251.14
1005.60
6286.43
62.79
252.20
1009.79
6312.97
100
1000
983
26/11/16 10:36 AM
1
.10
.05
.025
.01
39.86
161.45
647.79
4052.18
49.50
199.50
799.48
4999.34
53.59
215.71
864.15
5403.53
55.83
224.58
899.60
5624.26
57.24
230.16
921.83
5763.96
58.20
233.99
937.11
5858.95
2
.10
.05
.025
.01
8.53
18.51
38.51
98.50
9.00
19.00
39.00
99.00
9.16
19.16
39.17
99.16
9.24
19.25
39.25
99.25
9.29
19.30
39.30
99.30
9.33
19.33
39.33
99.33
9.35
19.35
39.36
99.36
9.37
19.37
39.37
99.38
9.38
19.38
39.39
99.39
9.39
19.40
39.40
99.40
9.42
19.43
39.43
99.43
9.44
19.45
39.45
99.45
9.45
19.46
39.46
99.46
9.46
19.46
39.46
99.47
9.47
19.47
39.47
99.48
9.47
19.48
39.48
99.48
9.48
19.49
39.49
99.49
9.49
19.49
39.50
99.50
3
.10
.05
.025
.01
5.54
10.13
17.44
34.12
5.46
9.55
16.04
30.82
5.39
9.28
15.44
29.46
5.34
9.12
15.10
28.71
5.31
9.01
14.88
28.24
5.28
8.94
14.73
27.91
5.27
8.89
14.62
27.67
5.25
8.85
14.54
27.49
5.24
8.81
14.47
27.34
5.23
8.79
14.42
27.23
5.20
8.70
14.25
26.87
5.18
8.66
14.17
26.69
5.17
8.63
14.12
26.58
5.17
8.62
14.08
26.50
5.16
8.59
14.04
26.41
5.15
8.57
13.99
26.32
5.14
8.55
13.96
26.24
5.13
8.53
13.91
26.14
4
.10
.05
.025
.01
4.54
7.71
12.22
21.20
4.32
6.94
10.65
18.00
4.19
6.59
9.98
16.69
4.11
6.39
9.60
15.98
4.05
6.26
9.36
15.52
4.01
6.16
9.20
15.21
3.98
6.09
9.07
14.98
3.95
6.04
8.98
14.80
3.94
6.00
8.90
14.66
3.92
5.96
8.84
14.55
3.87
5.86
8.66
14.20
3.84
5.80
8.56
14.02
3.83
5.77
8.50
13.91
3.82
5.75
8.46
13.84
3.80
5.72
8.41
13.75
3.79
5.69
8.36
13.65
3.78
5.66
8.32
13.58
3.76
5.63
8.26
13.47
5
.10
.05
.025
.01
4.06
6.61.
10.01
16.26
3.78
5.79
8.43
13.27
3.62
5.41
7.76
12.06
3.52
5.19
7.39
11.39
3.45
5.05
7.15
10.97
3.40
4.95
6.98
10.67
3.37
4.88
6.85
10.46
3.34
4.82
6.76
10.29
3.32
4.77
6.68
10.16
3.30
4.74
6.62
10.05
3.21
4.56
6.33
9.55
3.19
4.52
6.27
9.45
3.17
4.50
6.23
9.38
3.16
4.46
6.18
9.29
3.14
4.43
6.12
9.20
3.13
4.41
6.08
9.13
3.11
4.37
6.02
9.03
3.324
4.62
6.43
9.72
63.01
63.30
253.04 254.19
1013.16 1017.76
6333.92 6362.80
984
94160_appB_ptg01.indd 984
TABLE 4
F disTriBuTion (Continued )
Denominator
Degrees
of Freedom
Area in
Upper
Tail
1
2
3
4
5
6
7
8
9
10
15
20
25
30
40
60
100
1000
6
.10
.05
.025
.01
3.78
5.99
8.81
13.75
3.46
5.14
7.26
10.92
3.29
4.76
6.60
9.78
3.18
4.53
6.23
9.15
3.11
4.39
5.99
8.75
3.05
4.28
5.82
8.47
3.01
4.21
5.70
8.26
2.98
4.15
5.60
8.10
2.96
4.10
5.52
7.98
2.94
4.06
5.46
7.87
2.87
3.94
5.27
7.56
2.84
3.87
5.17
7.40
2.81
3.83
5.11
7.30
2.80
3.81
5.07
7.23
2.78
3.77
5.01
7.14
2.76
3.74
4.96
7.06
2.75
3.71
4.92
6.99
2.72
3.67
4.86
6.89
7
.10
.05
.025
.01
3.59
5.59
8.07
12.25
3.26
4.74
6.54
9.55
3.07
4.35
5.89
8.45
2.96
4.12
5.52
7.85
2.88
3.97
5.29
7.46
2.83
3.87
5.12
7.19
2.78
3.79
4.99
6.99
2.75
3.73
4.90
6.84
2.72
3.68
4.82
6.72
2.70
3.64
4.76
6.62
2.63
3.51
4.57
6.31
2.59
3.44
4.47
6.16
2.57
3.40
4.40
6.06
2.56
3.38
4.36
5.99
2.54
3.34
4.31
5.91
2.51
3.30
4.25
5.82
2.50
3.27
4.21
5.75
2.47
3.23
4.15
5.66
8
.10
.05
.025
.01
3.46
5.32
7.57
11.26
3.11
4.46
6.06
8.65
2.92
4.07
5.42
7.59
2.81
3.84
5.05
7.01
2.73
3.69
4.82
6.63
2.67
3.58
4.65
6.37
2.62
3.50
4.53
6.18
2.59
3.44
4.43
6.03
2.56
3.39
4.36
5.91
2.54
3.35
4.30
5.81
2.46
3.22
4.10
5.52
2.42
3.15
4.00
5.36
2.40
3.11
3.94
5.26
2.38
3.08
3.89
5.20
2.36
3.04
3.84
5.12
2.34
3.01
3.78
5.03
2.32
2.97
3.74
4.96
2.30
2.93
3.68
4.87
9
.10
.05
.025
.01
3.36
5.12
7.21
10.56
3.01
4.26
5.71
8.02
2.81
3.86
5.08
6.99
2.69
3.63
4.72
6.42
2.61
3.48
4.48
6.06
2.55
3.37
4.32
5.80
2.51
3.29
4.20
5.61
2.47
3.23
4.10
5.47
2.44
3.18
4.03
5.35
2.42
3.14
3.96
5.26
2.34
3.01
3.77
4.96
2.30
2.94
3.67
4.81
2.27
2.89
3.60
4.71
2.25
2.86
3.56
4.65
2.23
2.83
3.51
4.57
2.21
2.79
3.45
4.48
2.19
2.76
3.40
4.41
2.16
2.71
3.34
4.32
10
.10
.05
.025
.01
3.29
4.96
6.94
10.04
2.92
4.10
5.46
7.56
2.73
3.71
4.83
6.55
2.61
3.48
4.47
5.99
2.52
3.33
4.24
5.64
2.46
3.22
4.07
5.39
2.41
3.14
3.95
5.20
2.38
3.07
3.85
5.06
2.35
3.02
3.78
4.94
2.32
2.98
3.72
4.85
2.24
2.85
3.52
4.56
2.20
2.77
3.42
4.41
2.17
2.73
3.35
4.31
2.16
2.70
3.31
4.25
2.13
2.66
3.26
4.17
2.11
2.62
3.20
4.08
2.09
2.59
3.15
4.01
2.06
2.54
3.09
3.92
11
.10
.05
.025
.01
3.23
4.84
6.72
9.65
2.86
3.98
5.26
7.21
2.66
3.59
4.63
6.22
2.54
3.36
4.28
5.67
2.45
3.20
4.04
5.32
2.39
3.09
3.88
5.07
2.34
3.01
3.76
4.89
2.30
2.95
3.66
4.74
2.27
2.90
3.59
4.63
2.25
2.85
3.53
4.54
2.17
2.72
3.33
4.25
2.12
2.65
3.23
4.10
2.10
2.60
3.16
4.01
2.08
2.57
3.12
3.94
2.05
2.53
3.06
3.86
2.03
2.49
3.00
3.78
2.01
2.46
2.96
3.71
1.98
2.41
2.89
3.61
12
.10
.05
.025
.01
3.18
4.75
6.55
9.33
2.81
3.89
5.10
6.93
2.61
3.49
4.47
5.95
2.48
3.26
4.12
5.41
2.39
3.11
3.89
5.06
2.33
3.00
3.73
4.82
2.28
2.91
3.61
4.64
2.24
2.85
3.51
4.50
2.21
2.80
3.44
4.39
2.19
2.75
3.37
4.30
2.10
2.62
3.18
4.01
2.06
2.54
3.07
3.86
2.03
2.50
3.01
3.76
2.01
2.47
2.96
3.70
1.99
2.43
2.91
3.62
1.96
2.38
2.85
3.54
1.94
2.35
2.80
3.47
1.91
2.30
2.73
3.37
13
.10
.05
.025
.01
3.14
4.67
6.41
9.07
2.76
3.81
4.97
6.70
2.56
3.41
4.35
5.74
2.43
3.18
4.00
5.21
2.35
3.03
3.77
4.86
2.28
2.92
3.60
4.62
2.23
2.83
3.48
4.44
2.20
2.77
3.39
4.30
2.16
2.71
3.31
4.19
2.14
2.67
3.25
4.10
2.05
2.53
3.05
3.82
2.01
2.46
2.95
3.66
1.98
2.41
2.88
3.57
1.96
2.38
2.84
3.51
1.93
2.34
2.78
3.43
1.90
2.30
2.72
3.34
1.88
2.26
2.67
3.27
1.85
2.21
2.60
3.18
14
.10
.05
.025
.01
3.10
4.60
6.30
8.86
2.73
3.74
4.86
6.51
2.52
3.34
4.24
5.56
2.39
3.11
3.89
5.04
2.31
2.96
3.66
4.69
2.24
2.85
3.50
4.46
2.19
2.76
3.38
4.28
2.15
2.70
3.29
4.14
2.12
2.65
3.21
4.03
2.10
2.60
3.15
3.94
2.01
2.46
2.95
3.66
1.96
2.39
2.84
3.51
1.93
2.34
2.78
3.41
1.99
2.31
2.73
3.35
1.89
2.27
2.67
3.27
1.86
2.22
2.61
3.18
1.83
2.19
2.56
3.11
1.80
2.14
2.50
3.02
15
.10
.05
.025
.01
3.07
4.54
6.20
8.68
2.70
3.68
4.77
6.36
2.49
3.29
4.15
5.42
2.36
3.06
3.80
4.89
2.27
2.90
3.58
4.56
2.21
2.79
3.41
4.32
2.16
2.71
3.29
4.14
2.12
2.64
3.20
4.00
2.09
2.59
3.12
3.89
2.06
2.54
3.06
3.80
1.97
2.40
2.86
3.52
1.92
2.33
2.76
3.37
1.89
2.28
2.69
3.28
1.87
2.25
2.64
3.21
1.85
2.20
2.59
3.13
1.82
2.16
2.52
3.05
1.79
2.12
2.47
2.98
1.76
2.07
2.40
2.88
Numerator Degrees of Freedom
26/11/16 10:36 AM
94160_appB_ptg01.indd 985
Denominator
Degrees
Area in
Upper
of Freedom
Tail
Numerator Degrees of Freedom
1
2
3
4
5
6
7
8
9
10
15
20
25
30
40
60
100
1000
16
.10
.05
.025
.01
3.05
4.49
6.12
8.53
2.67
3.63
4.69
6.23
2.46
3.24
4.08
5.29
2.33
3.01
3.73
4.77
2.24
2.85
3.50
4.44
2.18
2.74
3.34
4.20
2.13
2.66
3.22
4.03
2.09
2.59
3.12
3.89
2.06
2.54
3.05
3.78
2.03
2.49
2.99
3.69
1.94
2.35
2.79
3.41
1.89
2.28
2.68
3.26
1.86
2.23
2.61
3.16
1.84
2.19
2.57
3.10
1.81
2.15
2.51
3.02
1.78
2.11
2.45
2.93
1.76
2.07
2.40
2.86
1.72
2.02
2.32
2.76
17
.10
.05
.025
.01
3.03
4.45
6.04
8.40
2.64
3.59
4.62
6.11
2.44
3.20
4.01
5.19
2.31
2.96
3.66
4.67
2.22
2.81
3.44
4.34
2.15
2.70
3.28
4.10
2.10
2.61
3.16
3.93
2.06
2.55
3.06
3.79
2.03
2.49
2.98
3.68
2.00
2.45
2.92
3.59
1.91
2.31
2.72
3.31
1.86
2.23
2.62
3.16
1.83
2.18
2.55
3.07
1.81
2.15
2.50
3.00
1.78
2.10
2.44
2.92
1.75
2.06
2.38
2.83
1.73
2.02
2.33
2.76
1.69
1.97
2.26
2.66
18
.10
.05
.025
.01
3.01
4.41
5.98
8.29
2.62
3.55
4.56
6.01
2.42
3.16
3.95
5.09
2.29
2.93
3.61
4.58
2.20
2.77
3.38
4.25
2.13
2.66
3.22
4.01
2.08
2.58
3.10
3.84
2.04
2.51
3.01
3.71
2.00
2.46
2.93
3.60
1.98
2.41
2.87
3.51
1.89
2.27
2.67
3.23
1.84
2.19
2.56
3.08
1.80
2.14
2.49
2.98
1.78
2.11
2.44
2.92
1.75
2.06
2.38
2.84
1.72
2.02
2.32
2.75
1.70
1.98
2.27
2.68
1.66
1.92
2.20
2.58
19
.10
.05
.025
.01
2.99
4.38
5.92
8.18
2.61
3.52
4.51
5.93
2.40
3.13
3.90
5.01
2.27
2.90
3.56
4.50
2.18
2.74
3.33
4.17
2.11
2.63
3.17
3.94
2.06
2.54
3.05
3.77
2.02
2.48
2.96
3.63
1.98
2.42
2.88
3.52
1.96
2.38
2.82
3.43
1.86
2.23
2.62
3.15
1.81
2.16
2.51
3.00
1.78
2.11
2.44
2.91
1.76
2.07
2.39
2.84
1.73
2.03
2.33
2.76
1.70
1.98
2.27
2.67
1.67
1.94
2.22
2.60
1.64
1.88
2.14
2.50
20
.10
.05
.025
.01
2.97
4.35
5.87
8.10
2.59
3.49
4.46
5.85
2.38
3.10
3.86
4.94
2.25
2.87
3.51
4.43
2.16
2.71
3.29
4.10
2.09
2.60
3.13
3.87
2.04
2.51
3.01
3.70
2.00
2.45
2.91
3.56
1.96
2.39
2.84
3.46
1.94
2.35
2.77
3.37
1.84
2.20
2.57
3.09
1.79
2.12
2.46
2.94
1.76
2.07
2.40
2.84
1.74
2.04
2.35
2.78
1.71
1.99
2.29
2.69
1.68
1.95
2.22
2.61
1.65
1.91
2.17
2.54
1.61
1.85
2.09
2.43
21
.10
.05
.025
.01
2.96
4.32
5.83
8.02
2.57
3.47
4.42
5.78
2.36
3.07
3.82
4.87
2.23
2.84
3.48
4.37
2.14
2.68
3.25
4.04
2.08
2.57
3.09
3.81
2.02
2.49
2.97
3.64
1.98
2.42
2.87
3.51
1.95
2.37
2.80
3.40
1.92
2.32
2.73
3.31
1.83
2.18
2.53
3.03
1.78
2.10
2.42
2.88
1.74
2.05
2.36
2.79
1.72
2.01
2.31
2.72
1.69
1.96
2.25
2.64
1.66
1.92
2.18
2.55
1.63
1.88
2.13
2.48
1.59
1.82
2.05
2.37
22
.10
.05
.025
.01
2.95
4.30
5.79
7.95
2.56
3.44
4.38
5.72
2.35
3.05
3.78
4.82
2.22
2.82
3.44
4.31
2.13
2.66
3.22
3.99
2.06
2.55
3.05
3.76
2.01
2.46
2.93
3.59
1.97
2.40
2.84
3.45
1.93
2.34
2.76
3.35
1.90
2.30
2.70
3.26
1.81
2.15
2.50
2.98
1.76
2.07
2.39
2.83
1.73
2.02
2.32
2.73
1.70
1.98
2.27
2.67
1.67
1.94
2.21
2.58
1.64
1.89
2.14
2.50
1.61
1.85
2.09
2.42
1.57
1.79
2.01
2.32
23
.10
.05
.025
.01
2.94
4.28
5.75
7.88
2.55
3.42
4.35
5.66
2.34
3.03
3.75
4.76
2.21
2.80
3.41
4.26
2.11
2.64
3.18
3.94
2.05
2.53
3.02
3.71
1.99
2.44
2.90
3.54
1.95
2.37
2.81
3.41
1.92
2.32
2.73
3.30
1.89
2.27
2.67
3.21
1.80
2.13
2.47
2.93
1.74
2.05
2.36
2.78
1.71
2.00
2.29
2.69
1.69
1.96
2.24
2.62
1.66
1.91
2.18
2.54
1.62
1.86
2.11
2.45
1.59
1.82
2.06
2.37
1.55
1.76
1.98
2.27
24
.10
.05
.025
.01
2.93
4.26
5.72
7.82
2.54
3.40
4.32
5.61
2.33
3.01
3.72
4.72
2.19
2.78
3.38
4.22
2.10
2.62
3.15
3.90
2.04
2.51
2.99
3.67
1.98
2.42
2.87
3.50
1.94
2.36
2.78
3.36
1.91
2.30
2.70
3.26
1.88
2.25
2.64
3.17
1.78
2.11
2.44
2.89
1.73
2.03
2.33
2.74
1.70
1.97
2.26
2.64
1.67
1.94
2.21
2.58
1.64
1.89
2.15
2.49
1.61
1.84
2.08
2.40
1.58
1.80
2.02
2.33
1.54
1.74
1.94
2.22
985
26/11/16 10:36 AM
986
94160_appB_ptg01.indd 986
TABLE 4
F disTriBuTion (Continued)
Denominator
Degrees
Area in
Upper
of Freedom
Tail
1
2
3
4
5
6
7
8
9
10
15
20
25
30
40
60
100
1000
25
.10
.05
.025
.01
2.92
4.24
5.69
7.77
2.53
3.39
4.29
5.57
2.32
2.99
3.69
4.68
2.18
2.76
3.35
4.18
2.09
2.60
3.13
3.85
2.02
2.49
2.97
3.63
1.97
2.40
2.85
3.46
1.93
2.34
2.75
3.32
1.89
2.28
2.68
3.22
1.87
2.24
2.61
3.13
1.77
2.09
2.41
2.85
1.72
2.01
2.30
2.70
1.68
1.96
2.23
2.60
1.66
1.92
2.18
2.54
1.63
1.87
2.12
2.45
1.59
1.82
2.05
2.36
1.56
1.78
2.00
2.29
1.52
1.72
1.91
2.18
26
.10
.05
.025
.01
2.91
4.23
5.66
7.72
2.52
3.37
4.27
5.53
2.31
2.98
3.67
4.64
2.17
2.74
3.33
4.14
2.08
2.59
3.10
3.82
2.01
2.47
2.94
3.59
1.96
2.39
2.82
3.42
1.92
2.32
2.73
3.29
1.88
2.27
2.65
3.18
1.86
2.22
2.59
3.09
1.76
2.07
2.39
2.81
1.71
1.99
2.28
2.66
1.67
1.94
2.21
2.57
1.65
1.90
2.16
2.50
1.61
1.85
2.09
2.42
1.58
1.80
2.03
2.33
1.55
1.76
1.97
2.25
1.51
1.70
1.89
2.14
27
.10
.05
.025
.01
2.90
4.21
5.63
7.68
2.51
3.35
4.24
5.49
2.30
2.96
3.65
4.60
2.17
2.73
3.31
4.11
2.07
2.57
3.08
3.78
2.00
2.46
2.92
3.56
1.95
2.37
2.80
3.39
1.91
2.31
2.71
3.26
1.87
2.25
2.63
3.15
1.85
2.20
2.57
3.06
1.75
2.06
2.36
2.78
1.70
1.97
2.25
2.63
1.66
1.92
2.18
2.54
1.64
1.88
2.13
2.47
1.60
1.84
2.07
2.38
1.57
1.79
2.00
2.29
1.54
1.74
1.94
2.22
1.50
1.68
1.86
2.11
28
.10
.05
.025
.01
2.89
4.20
5.61
7.64
2.50
3.34
4.22
5.45
2.29
2.95
3.63
4.57
2.16
2.71
3.29
4.07
2.06
2.56
3.06
3.75
2.00
2.45
2.90
3.53
1.94
2.36
2.78
3.36
1.90
2.29
2.69
3.23
1.87
2.24
2.61
3.12
1.84
2.19
2.55
3.03
1.74
2.04
2.34
2.75
1.69
1.96
2.23
2.60
1.65
1.91
2.16
2.51
1.63
1.87
2.11
2.44
1.59
1.82
2.05
2.35
1.56
1.77
1.98
2.26
1.53
1.73
1.92
2.19
1.48
1.66
1.84
2.08
29
.10
.05
.025
.01
2.89
4.18
5.59
7.60
2.50
3.33
4.20
5.42
2.28
2.93
3.61
4.54
2.15
2.70
3.27
4.04
2.06
2.55
3.04
3.73
1.99
2.43
2.88
3.50
1.93
2.35
2.76
3.33
1.89
2.28
2.67
3.20
1.86
2.22
2.59
3.09
1.83
2.18
2.53
3.00
1.73
2.03
2.32
2.73
1.68
1.94
2.21
2.57
1.64
1.89
2.14
2.48
1.62
1.85
2.09
2.41
1.58
1.81
2.03
2.33
1.55
1.75
1.96
2.23
1.52
1.71
1.90
2.16
1.47
1.65
1.82
2.05
30
.10
.05
.025
.01
2.88
4.17
5.57
7.56
2.49
3.32
4.18
5.39
2.28
2.92
3.59
4.51
2.14
2.69
3.25
4.02
2.05
2.53
3.03
3.70
1.98
2.42
2.87
3.47
1.93
2.33
2.75
3.30
1.88
2.27
2.65
3.17
1.85
2.21
2.57
3.07
1.82
2.16
2.51
2.98
1.72
2.01
2.31
2.70
1.67
1.93
2.20
2.55
1.63
1.88
2.12
2.45
1.61
1.84
2.07
2.39
1.57
1.79
2.01
2.30
1.54
1.74
1.94
2.21
1.51
1.70
1.88
2.13
1.46
1.63
1.80
2.02
40
.10
.05
.025
.01
2.84
4.08
5.42
7.31
2.44
3.23
4.05
5.18
2.23
2.84
3.46
4.31
2.09
2.61
3.13
3.83
2.00
2.45
2.90
3.51
1.93
2.34
2.74
3.29
1.87
2.25
2.62
3.12
1.83
2.18
2.53
2.99
1.79
2.12
2.45
2.89
1.76
2.08
2.39
2.80
1.66
1.92
2.18
2.52
1.61
1.84
2.07
2.37
1.57
1.78
1.99
2.27
1.54
1.74
1.94
2.20
1.51
1.69
1.88
2.11
1.47
1.64
1.80
2.02
1.43
1.59
1.74
1.94
1.38
1.52
1.65
1.82
60
.10
.05
.025
.01
2.79
4.00
5.29
7.08
2.39
3.15
3.93
4.98
2.18
2.76
3.34
4.13
2.04
2.53
3.01
3.65
1.95
2.37
2.79
3.34
1.87
2.25
2.63
3.12
1.82
2.17
2.51
2.95
1.77
2.10
2.41
2.82
1.74
2.04
2.33
2.72
1.71
1.99
2.27
2.63
1.60
1.84
2.06
2.35
1.54
1.75
1.94
2.20
1.50
1.69
1.87
2.10
1.48
1.65
1.82
2.03
1.44
1.59
1.74
1.94
1.40
1.53
1.67
1.84
1.36
1.48
1.60
1.75
1.30
1.40
1.49
1.62
100
.10
.05
.025
.01
2.76
3.94
5.18
6.90
2.36
3.09
3.83
4.82
2.14
2.70
3.25
3.98
2.00
2.46
2.92
3.51
1.91
2.31
2.70
3.21
1.83
2.19
2.54
2.99
1.78
2.10
2.42
2.82
1.73
2.03
2.32
2.69
1.69
1.97
2.24
2.59
1.66
1.93
2.18
2.50
1.56
1.77
1.97
2.22
1.49
1.68
1.85
2.07
1.45
1.62
1.77
1.97
1.42
1.57
1.71
1.89
1.38
1.52
1.64
1.80
1.34
1.45
1.56
1.69
1.29
1.39
1.48
1.60
1.22
1.30
1.36
1.45
1000
.10
.05
.025
.01
2.71
3.85
5.04
6.66
2.31
3.00
3.70
4.63
2.09
2.61
3.13
3.80
1.95
2.38
2.80
3.34
1.85
2.22
2.58
3.04
1.78
2.11
2.42
2.82
1.72
2.02
2.30
2.66
1.68
1.95
2.20
2.53
1.64
1.89
2.13
2.43
1.61
1.84
2.06
2.34
1.49
1.68
1.85
2.06
1.43
1.58
1.72
1.90
1.38
1.52
1.64
1.79
1.35
1.47
1.58
1.72
1.30
1.41
1.50
1.61
1.25
1.33
1.41
1.50
1.20
1.26
1.32
1.38
1.08
1.11
1.13
1.16
Numerator Degrees of Freedom
26/11/16 10:36 AM
Appendix B
987
Tables
TABLE 5 BinomiAl ProBABiliTies
entries in the table give the probability of x successes in n trials of a binomial experiment, where p
is the probability of a success on one trial. for example, with six trials and p ∙ .05, the probability
of two successes is .0305.
p
94160_appB_ptg01.indd 987
n
x
.01
.02
.03
.04
.05
.06
.07
.08
.09
2
0
1
2
.9801
.0198
.0001
.9604
.0392
.0004
.9409
.0582
.0009
.9216
.0768
.0016
.9025
.0950
.0025
.8836
.1128
.0036
.8649
.1302
.0049
.8464
.1472
.0064
.8281
.1638
.0081
3
0
1
2
3
.9703
.0294
.0003
.0000
.9412
.0576
.0012
.0000
.9127
.0847
.0026
.0000
.8847
.1106
.0046
.0001
.8574
.1354
.0071
.0001
.8306
.1590
.0102
.0002
.8044
.1816
.0137
.0003
.7787
.2031
.0177
.0005
.7536
.2236
.0221
.0007
4
0
1
2
3
4
.9606
.0388
.0006
.0000
.0000
.9224
.0753
.0023
.0000
.0000
.8853
.1095
.0051
.0001
.0000
.8493
.1416
.0088
.0002
.0000
.8145
.1715
.0135
.0005
.0000
.7807
.1993
.0191
.0008
.0000
.7481
.2252
.0254
.0013
.0000
.7164
.2492
.0325
.0019
.0000
.6857
.2713
.0402
.0027
.0001
5
0
1
2
3
4
5
.9510
.0480
.0010
.0000
.0000
.0000
.9039
.0922
.0038
.0001
.0000
.0000
.8587
.1328
.0082
.0003
.0000
.0000
.8154
.1699
.0142
.0006
.0000
.0000
.7738
.2036
.0214
.0011
.0000
.0000
.7339
.2342
.0299
.0019
.0001
.0000
.6957
.2618
.0394
.0030
.0001
.0000
.6591
.2866
.0498
.0043
.0002
.0000
.6240
.3086
.0610
.0060
.0003
.0000
6
0
1
2
3
4
5
6
.9415
.0571
.0014
.0000
.0000
.0000
.0000
.8858
.1085
.0055
.0002
.0000
.0000
.0000
.8330
.1546
.0120
.0005
.0000
.0000
.0000
.7828
.1957
.0204
.0011
.0000
.0000
.0000
.7351
.2321
.0305
.0021
.0001
.0000
.0000
.6899
.2642
.0422
.0036
.0002
.0000
.0000
.6470
.2922
.0550
.0055
.0003
.0000
.0000
.6064
.3164
.0688
.0080
.0005
.0000
.0000
.5679
.3370
.0833
.0110
.0008
.0000
.0000
7
0
1
2
3
4
5
6
7
.9321
.0659
.0020
.0000
.0000
.0000
.0000
.0000
.8681
.1240
.0076
.0003
.0000
.0000
.0000
.0000
.8080
.1749
.0162
.0008
.0000
.0000
.0000
.0000
.7514
.2192
.0274
.0019
.0001
.0000
.0000
.0000
.6983
.2573
.0406
.0036
.0002
.0000
.0000
.0000
.6485
.2897
.0555
.0059
.0004
.0000
.0000
.0000
.6017
.3170
.0716
.0090
.0007
.0000
.0000
.0000
.5578
.3396
.0886
.0128
.0011
.0001
.0000
.0000
.5168
.3578
.1061
.0175
.0017
.0001
.0000
.0000
8
0
1
2
3
4
5
6
7
8
.9227
.0746
.0026
.0001
.0000
.0000
.0000
.0000
.0000
.8508
.1389
.0099
.0004
.0000
.0000
.0000
.0000
.0000
.7837
.1939
.0210
.0013
.0001
.0000
.0000
.0000
.0000
.7214
.2405
.0351
.0029
.0002
.0000
.0000
.0000
.0000
.6634
.2793
.0515
.0054
.0004
.0000
.0000
.0000
.0000
.6096
.3113
.0695
.0089
.0007
.0000
.0000
.0000
.0000
.5596
.3370
.0888
.0134
.0013
.0001
.0000
.0000
.0000
.5132
.3570
.1087
.0189
.0021
.0001
.0000
.0000
.0000
.4703
.3721
.1288
.0255
.0031
.0002
.0000
.0000
.0000
26/11/16 10:36 AM
988
Appendix B
TABLE 5
Tables
BinomiAl ProBABiliTies (Continued)
p
94160_appB_ptg01.indd 988
n
x
.01
.02
.03
.04
.05
.06
.07
.08
.09
9
0
1
2
3
4
5
6
7
8
9
.9135
.0830
.0034
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.8337
.1531
.0125
.0006
.0000
.0000
.0000
.0000
.0000
.0000
.7602
.2116
.0262
.0019
.0001
.0000
.0000
.0000
.0000
.0000
.6925
.2597
.0433
.0042
.0003
.0000
.0000
.0000
.0000
.0000
.6302
.2985
.0629
.0077
.0006
.0000
.0000
.0000
.0000
.0000
.5730
.3292
.0840
.0125
.0012
.0001
.0000
.0000
.0000
.0000
.5204
.3525
.1061
.0186
.0021
.0002
.0000
.0000
.0000
.0000
.4722
.3695
.1285
.0261
.0034
.0003
.0000
.0000
.0000
.0000
.4279
.3809
.1507
.0348
.0052
.0005
.0000
.0000
.0000
.0000
10
0
1
2
3
4
5
6
7
8
9
10
.9044
.0914
.0042
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.8171
.1667
.0153
.0008
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.7374
.2281
.0317
.0026
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.6648
.2770
.0519
.0058
.0004
.0000
.0000
.0000
.0000
.0000
.0000
.5987
.3151
.0746
.0105
.0010
.0001
.0000
.0000
.0000
.0000
.0000
.5386
.3438
.0988
.0168
.0019
.0001
.0000
.0000
.0000
.0000
.0000
.4840
.3643
.1234
.0248
.0033
.0003
.0000
.0000
.0000
.0000
.0000
.4344
.3777
.1478
.0343
.0052
.0005
.0000
.0000
.0000
.0000
.0000
.3894
.3851
.1714
.0452
.0078
.0009
.0001
.0000
.0000
.0000
.0000
12
0
1
2
3
4
5
6
7
8
9
10
11
12
.8864
.1074
.0060
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.7847
.1922
.0216
.0015
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.6938
.2575
.0438
.0045
.0003
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.6127
.3064
.0702
.0098
.0009
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.5404
.3413
.0988
.0173
.0021
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.4759
.3645
.1280
.0272
.0039
.0004
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.4186
.3781
.1565
.0393
.0067
.0008
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.3677
.3837
.1835
.0532
.0104
.0014
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.3225
.3827
.2082
.0686
.0153
.0024
.0003
.0000
.0000
.0000
.0000
.0000
.0000
15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
.8601
.1303
.0092
.0004
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.7386
.2261
.0323
.0029
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.6333
.2938
.0636
.0085
.0008
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.5421
.3388
.0988
.0178
.0022
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.4633
.3658
.1348
.0307
.0049
.0006
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.3953
.3785
.1691
.0468
.0090
.0013
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.3367
.3801
.2003
.0653
.0148
.0024
.0003
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.2863
.3734
.2273
.0857
.0223
.0043
.0006
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.2430
.3605
.2496
.1070
.0317
.0069
.0011
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
26/11/16 10:36 AM
Appendix B
TABLE 5
989
Tables
BinomiAl ProBABiliTies (Continued )
p
94160_appB_ptg01.indd 989
n
x
.01
.02
.03
.04
.05
.06
.07
.08
.09
18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
.8345
.1517
.0130
.0007
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.6951
.2554
.0443
.0048
.0004
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.5780
.3217
.0846
.0140
.0016
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.4796
.3597
.1274
.0283
.0044
.0005
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.3972
.3763
.1683
.0473
.0093
.0014
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.3283
.3772
.2047
.0697
.0167
.0030
.0004
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.2708
.3669
.2348
.0942
.0266
.0056
.0009
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.2229
.3489
.2579
.1196
.0390
.0095
.0018
.0003
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.1831
.3260
.2741
.1446
.0536
.0148
.0032
.0005
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
.8179
.1652
.0159
.0010
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.6676
.2725
.0528
.0065
.0006
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.5438
.3364
.0988
.0183
.0024
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.4420
.3683
.1458
.0364
.0065
.0009
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.3585
.3774
.1887
.0596
.0133
.0022
.0003
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.2901
.3703
.2246
.0860
.0233
.0048
.0008
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.2342
.3526
.2521
.1139
.0364
.0088
.0017
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.1887
.3282
.2711
.1414
.0523
.0145
.0032
.0005
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.1516
.3000
.2818
.1672
.0703
.0222
.0055
.0011
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
26/11/16 10:36 AM
990
Appendix B
TABLE 5
Tables
BinomiAl ProBABiliTies (Continued )
p
94160_appB_ptg01.indd 990
n
x
.10
.15
.20
.25
.30
.35
.40
.45
.50
2
0
1
2
.8100
.1800
.0100
.7225
.2550
.0225
.6400
.3200
.0400
.5625
.3750
.0625
.4900
.4200
.0900
.4225
.4550
.1225
.3600
.4800
.1600
.3025
.4950
.2025
.2500
.5000
.2500
3
0
1
2
3
.7290
.2430
.0270
.0010
.6141
.3251
.0574
.0034
.5120
.3840
.0960
.0080
.4219
.4219
.1406
.0156
.3430
.4410
.1890
.0270
.2746
.4436
.2389
.0429
.2160
.4320
.2880
.0640
.1664
.4084
.3341
.0911
.1250
.3750
.3750
.1250
4
0
1
2
3
4
.6561
.2916
.0486
.0036
.0001
.5220
.3685
.0975
.0115
.0005
.4096
.4096
.1536
.0256
.0016
.3164
.4219
.2109
.0469
.0039
.2401
.4116
.2646
.0756
.0081
.1785
.3845
.3105
.1115
.0150
.1296
.3456
.3456
.1536
.0256
.0915
.2995
.3675
.2005
.0410
.0625
.2500
.3750
.2500
.0625
5
0
1
2
3
4
5
.5905
.3280
.0729
.0081
.0004
.0000
.4437
.3915
.1382
.0244
.0022
.0001
.3277
.4096
.2048
.0512
.0064
.0003
.2373
.3955
.2637
.0879
.0146
.0010
.1681
.3602
.3087
.1323
.0284
.0024
.1160
.3124
.3364
.1811
.0488
.0053
.0778
.2592
.3456
.2304
.0768
.0102
.0503
.2059
.3369
.2757
.1128
.0185
.0312
.1562
.3125
.3125
.1562
.0312
6
0
1
2
3
4
5
6
.5314
.3543
.0984
.0146
.0012
.0001
.0000
.3771
.3993
.1762
.0415
.0055
.0004
.0000
.2621
.3932
.2458
.0819
.0154
.0015
.0001
.1780
.3560
.2966
.1318
.0330
.0044
.0002
.1176
.3025
.3241
.1852
.0595
.0102
.0007
.0754
.2437
.3280
.2355
.0951
.0205
.0018
.0467
.1866
.3110
.2765
.1382
.0369
.0041
.0277
.1359
.2780
.3032
.1861
.0609
.0083
.0156
.0938
.2344
.3125
.2344
.0938
.0156
7
0
1
2
3
4
5
6
7
.4783
.3720
.1240
.0230
.0026
.0002
.0000
.0000
.3206
.3960
.2097
.0617
.0109
.0012
.0001
.0000
.2097
.3670
.2753
.1147
.0287
.0043
.0004
.0000
.1335
.3115
.3115
.1730
.0577
.0115
.0013
.0001
.0824
.2471
.3177
.2269
.0972
.0250
.0036
.0002
.0490
.1848
.2985
.2679
.1442
.0466
.0084
.0006
.0280
.1306
.2613
.2903
.1935
.0774
.0172
.0016
.0152
.0872
.2140
.2918
.2388
.1172
.0320
.0037
.0078
.0547
.1641
.2734
.2734
.1641
.0547
.0078
8
0
1
2
3
4
5
6
7
8
.4305
.3826
.1488
.0331
.0046
.0004
.0000
.0000
.0000
.2725
.3847
.2376
.0839
.0185
.0026
.0002
.0000
.0000
.1678
.3355
.2936
.1468
.0459
.0092
.0011
.0001
.0000
.1001
.2670
.3115
.2076
.0865
.0231
.0038
.0004
.0000
.0576
.1977
.2965
.2541
.1361
.0467
.0100
.0012
.0001
.0319
.1373
.2587
.2786
.1875
.0808
.0217
.0033
.0002
.0168
.0896
.2090
.2787
.2322
.1239
.0413
.0079
.0007
.0084
.0548
.1569
.2568
.2627
.1719
.0703
.0164
.0017
.0039
.0312
.1094
.2188
.2734
.2188
.1094
.0313
.0039
26/11/16 10:36 AM
Appendix B
TABLE 5
991
Tables
BinomiAl ProBABiliTies (Continued )
p
94160_appB_ptg01.indd 991
n
x
.10
.15
.20
.25
.30
.35
.40
.45
.50
9
0
1
2
3
4
5
6
7
8
9
.3874
.3874
.1722
.0446
.0074
.0008
.0001
.0000
.0000
.0000
.2316
.3679
.2597
.1069
.0283
.0050
.0006
.0000
.0000
.0000
.1342
.3020
.3020
.1762
.0661
.0165
.0028
.0003
.0000
.0000
.0751
.2253
.3003
.2336
.1168
.0389
.0087
.0012
.0001
.0000
.0404
.1556
.2668
.2668
.1715
.0735
.0210
.0039
.0004
.0000
.0207
.1004
.2162
.2716
.2194
.1181
.0424
.0098
.0013
.0001
.0101
.0605
.1612
.2508
.2508
.1672
.0743
.0212
.0035
.0003
.0046
.0339
.1110
.2119
.2600
.2128
.1160
.0407
.0083
.0008
.0020
.0176
.0703
.1641
.2461
.2461
.1641
.0703
.0176
.0020
10
0
1
2
3
4
5
6
7
8
9
10
.3487
.3874
.1937
.0574
.0112
.0015
.0001
.0000
.0000
.0000
.0000
.1969
.3474
.2759
.1298
.0401
.0085
.0012
.0001
.0000
.0000
.0000
.1074
.2684
.3020
.2013
.0881
.0264
.0055
.0008
.0001
.0000
.0000
.0563
.1877
.2816
.2503
.1460
.0584
.0162
.0031
.0004
.0000
.0000
.0282
.1211
.2335
.2668
.2001
.1029
.0368
.0090
.0014
.0001
.0000
.0135
.0725
.1757
.2522
.2377
.1536
.0689
.0212
.0043
.0005
.0000
.0060
.0403
.1209
.2150
.2508
.2007
.1115
.0425
.0106
.0016
.0001
.0025
.0207
.0763
.1665
.2384
.2340
.1596
.0746
.0229
.0042
.0003
.0010
.0098
.0439
.1172
.2051
.2461
.2051
.1172
.0439
.0098
.0010
12
0
1
2
3
4
5
6
7
8
9
10
11
12
.2824
.3766
.2301
.0853
.0213
.0038
.0005
.0000
.0000
.0000
.0000
.0000
.0000
.1422
.3012
.2924
.1720
.0683
.0193
.0040
.0006
.0001
.0000
.0000
.0000
.0000
.0687
.2062
.2835
.2362
.1329
.0532
.0155
.0033
.0005
.0001
.0000
.0000
.0000
.0317
.1267
.2323
.2581
.1936
.1032
.0401
.0115
.0024
.0004
.0000
.0000
.0000
.0138
.0712
.1678
.2397
.2311
.1585
.0792
.0291
.0078
.0015
.0002
.0000
.0000
.0057
.0368
.1088
.1954
.2367
.2039
.1281
.0591
.0199
.0048
.0008
.0001
.0000
.0022
.0174
.0639
.1419
.2128
.2270
.1766
.1009
.0420
.0125
.0025
.0003
.0000
.0008
.0075
.0339
.0923
.1700
.2225
.2124
.1489
.0762
.0277
.0068
.0010
.0001
.0002
.0029
.0161
.0537
.1208
.1934
.2256
.1934
.1208
.0537
.0161
.0029
.0002
15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
.2059
.3432
.2669
.1285
.0428
.0105
.0019
.0003
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0874
.2312
.2856
.2184
.1156
.0449
.0132
.0030
.0005
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0352
.1319
.2309
.2501
.1876
.1032
.0430
.0138
.0035
.0007
.0001
.0000
.0000
.0000
.0000
.0000
.0134
.0668
.1559
.2252
.2252
.1651
.0917
.0393
.0131
.0034
.0007
.0001
.0000
.0000
.0000
.0000
.0047
.0305
.0916
.1700
.2186
.2061
.1472
.0811
.0348
.0016
.0030
.0006
.0001
.0000
.0000
.0000
.0016
.0126
.0476
.1110
.1792
.2123
.1906
.1319
.0710
.0298
.0096
.0024
.0004
.0001
.0000
.0000
.0005
.0047
.0219
.0634
.1268
.1859
.2066
.1771
.1181
.0612
.0245
.0074
.0016
.0003
.0000
.0000
.0001
.0016
.0090
.0318
.0780
.1404
.1914
.2013
.1647
.1048
.0515
.0191
.0052
.0010
.0001
.0000
.0000
.0005
.0032
.0139
.0417
.0916
.1527
.1964
.1964
.1527
.0916
.0417
.0139
.0032
.0005
.0000
26/11/16 10:36 AM
992
Appendix B
TABLE 5
Tables
BinomiAl ProBABiliTies (Continued)
p
94160_appB_ptg01.indd 992
n
x
.10
.15
.20
.25
.30
.35
.40
.45
.50
18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
.1501
.3002
.2835
.1680
.0700
.0218
.0052
.0010
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0536
.1704
.2556
.2406
.1592
.0787
.0301
.0091
.0022
.0004
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0180
.0811
.1723
.2297
.2153
.1507
.0816
.0350
.0120
.0033
.0008
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0056
.0338
.0958
.1704
.2130
.1988
.1436
.0820
.0376
.0139
.0042
.0010
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0016
.0126
.0458
.1046
.1681
.2017
.1873
.1376
.0811
.0386
.0149
.0046
.0012
.0002
.0000
.0000
.0000
.0000
.0000
.0004
.0042
.0190
.0547
.1104
.1664
.1941
.1792
.1327
.0794
.0385
.0151
.0047
.0012
.0002
.0000
.0000
.0000
.0000
.0001
.0012
.0069
.0246
.0614
.1146
.1655
.1892
.1734
.1284
.0771
.0374
.0145
.0045
.0011
.0002
.0000
.0000
.0000
.0000
.0003
.0022
.0095
.0291
.0666
.1181
.1657
.1864
.1694
.1248
.0742
.0354
.0134
.0039
.0009
.0001
.0000
.0000
.0000
.0001
.0006
.0031
.0117
.0327
.0708
.1214
.1669
.1855
.1669
.1214
.0708
.0327
.0117
.0031
.0006
.0001
.0000
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
.1216
.2702
.2852
.1901
.0898
.0319
.0089
.0020
.0004
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0388
.1368
.2293
.2428
.1821
.1028
.0454
.0160
.0046
.0011
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0115
.0576
.1369
.2054
.2182
.1746
.1091
.0545
.0222
.0074
.0020
.0005
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0032
.0211
.0669
.1339
.1897
.2023
.1686
.1124
.0609
.0271
.0099
.0030
.0008
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0008
.0068
.0278
.0716
.1304
.1789
.1916
.1643
.1144
.0654
.0308
.0120
.0039
.0010
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0020
.0100
.0323
.0738
.1272
.1712
.1844
.1614
.1158
.0686
.0336
.0136
.0045
.0012
.0003
.0000
.0000
.0000
.0000
.0000
.0000
.0005
.0031
.0123
.0350
.0746
.1244
.1659
.1797
.1597
.1171
.0710
.0355
.0146
.0049
.0013
.0003
.0000
.0000
.0000
.0000
.0000
.0001
.0008
.0040
.0139
.0365
.0746
.1221
.1623
.1771
.1593
.1185
.0727
.0366
.0150
.0049
.0013
.0002
.0000
.0000
.0000
.0000
.0000
.0002
.0011
.0046
.0148
.0370
.0739
.1201
.1602
.1762
.1602
.1201
.0739
.0370
.0148
.0046
.0011
.0002
.0000
.0000
26/11/16 10:36 AM
Appendix B
TABLE 5
993
Tables
BinomiAl ProBABiliTies (Continued )
p
94160_appB_ptg01.indd 993
n
x
.55
.60
.65
.70
.75
.80
.85
.90
.95
2
0
1
2
.2025
.4950
.3025
.1600
.4800
.3600
.1225
.4550
.4225
.0900
.4200
.4900
.0625
.3750
.5625
.0400
.3200
.6400
.0225
.2550
.7225
.0100
.1800
.8100
.0025
.0950
.9025
3
0
1
2
3
.0911
.3341
.4084
.1664
.0640
.2880
.4320
.2160
.0429
.2389
.4436
.2746
.0270
.1890
.4410
.3430
.0156
.1406
.4219
.4219
.0080
.0960
.3840
.5120
.0034
.0574
.3251
.6141
.0010
.0270
.2430
.7290
.0001
.0071
.1354
.8574
4
0
1
2
3
4
.0410
.2005
.3675
.2995
.0915
.0256
.1536
.3456
.3456
.1296
.0150
.1115
.3105
.3845
.1785
.0081
.0756
.2646
.4116
.2401
.0039
.0469
.2109
.4219
.3164
.0016
.0256
.1536
.4096
.4096
.0005
.0115
.0975
.3685
.5220
.0001
.0036
.0486
.2916
.6561
.0000
.0005
.0135
.1715
.8145
5
0
1
2
3
4
5
.0185
.1128
.2757
.3369
.2059
.0503
.0102
.0768
.2304
.3456
.2592
.0778
.0053
.0488
.1811
.3364
.3124
.1160
.0024
.0284
.1323
.3087
.3601
.1681
.0010
.0146
.0879
.2637
.3955
.2373
.0003
.0064
.0512
.2048
.4096
.3277
.0001
.0022
.0244
.1382
.3915
.4437
.0000
.0005
.0081
.0729
.3281
.5905
.0000
.0000
.0011
.0214
.2036
.7738
6
0
1
2
3
4
5
6
.0083
.0609
.1861
.3032
.2780
.1359
.0277
.0041
.0369
.1382
.2765
.3110
.1866
.0467
.0018
.0205
.0951
.2355
.3280
.2437
.0754
.0007
.0102
.0595
.1852
.3241
.3025
.1176
.0002
.0044
.0330
.1318
.2966
.3560
.1780
.0001
.0015
.0154
.0819
.2458
.3932
.2621
.0000
.0004
.0055
.0415
.1762
.3993
.3771
.0000
.0001
.0012
.0146
.0984
.3543
.5314
.0000
.0000
.0001
.0021
.0305
.2321
.7351
7
0
1
2
3
4
5
6
7
.0037
.0320
.1172
.2388
.2918
.2140
.0872
.0152
.0016
.0172
.0774
.1935
.2903
.2613
.1306
.0280
.0006
.0084
.0466
.1442
.2679
.2985
.1848
.0490
.0002
.0036
.0250
.0972
.2269
.3177
.2471
.0824
.0001
.0013
.0115
.0577
.1730
.3115
.3115
.1335
.0000
.0004
.0043
.0287
.1147
.2753
.3670
.2097
.0000
.0001
.0012
.0109
.0617
.2097
.3960
.3206
.0000
.0000
.0002
.0026
.0230
.1240
.3720
.4783
.0000
.0000
.0000
.0002
.0036
.0406
.2573
.6983
8
0
1
2
3
4
5
6
7
8
.0017
.0164
.0703
.1719
.2627
.2568
.1569
.0548
.0084
.0007
.0079
.0413
.1239
.2322
.2787
.2090
.0896
.0168
.0002
.0033
.0217
.0808
.1875
.2786
.2587
.1373
.0319
.0001
.0012
.0100
.0467
.1361
.2541
.2965
.1977
.0576
.0000
.0004
.0038
.0231
.0865
.2076
.3115
.2670
.1001
.0000
.0001
.0011
.0092
.0459
.1468
.2936
.3355
.1678
.0000
.0000
.0002
.0026
.0185
.0839
.2376
.3847
.2725
.0000
.0000
.0000
.0004
.0046
.0331
.1488
.3826
.4305
.0000
.0000
.0000
.0000
.0004
.0054
.0515
.2793
.6634
26/11/16 10:36 AM
994
Appendix B
TABLE 5
Tables
BinomiAl ProBABiliTies (Continued )
p
94160_appB_ptg01.indd 994
n
x
.55
.60
9
0
1
2
3
4
5
6
7
8
9
.0008
.0083
.0407
.1160
.2128
.2600
.2119
.1110
.0339
.0046
.0003
.0035
.0212
.0743
.1672
.2508
.2508
.1612
.0605
.0101
10
0
1
2
3
4
5
6
7
8
9
10
.0003
.0042
.0229
.0746
.1596
.2340
.2384
.1665
.0763
.0207
.0025
12
0
1
2
3
4
5
6
7
8
9
10
11
12
15
0
1
2
3
4
5
6
7
8
9
10
11
.65
.70
.75
.80
.85
.90
.95
.0001
.0013
.0098
.0424
.1181
.2194
.2716
.2162
.1004
.0207
.0000
.0004
.0039
.0210
.0735
.1715
.2668
.2668
.1556
.0404
.0000
.0001
.0012
.0087
.0389
.1168
.2336
.3003
.2253
.0751
.0000
.0000
.0003
.0028
.0165
.0661
.1762
.3020
.3020
.1342
.0000
.0000
.0000
.0006
.0050
.0283
.1069
.2597
.3679
.2316
.0000
.0000
.0000
.0001
.0008
.0074
.0446
.1722
.3874
.3874
.0000
.0000
.0000
.0000
.0000
.0006
.0077
.0629
.2985
.6302
.0001
.0016
.0106
.0425
.1115
.2007
.2508
.2150
.1209
.0403
.0060
.0000
.0005
.0043
.0212
.0689
.1536
.2377
.2522
.1757
.0725
.0135
.0000
.0001
.0014
.0090
.0368
.1029
.2001
.2668
.2335
.1211
.0282
.0000
.0000
.0004
.0031
.0162
.0584
.1460
.2503
.2816
.1877
.0563
.0000
.0000
.0001
.0008
.0055
.0264
.0881
.2013
.3020
.2684
.1074
.0000
.0000
.0000
.0001
.0012
.0085
.0401
.1298
.2759
.3474
.1969
.0000
.0000
.0000
.0000
.0001
.0015
.0112
.0574
.1937
.3874
.3487
.0000
.0000
.0000
.0000
.0000
.0001
.0010
.0105
.0746
.3151
.5987
.0001
.0010
.0068
.0277
.0762
.1489
.2124
.2225
.1700
.0923
.0339
.0075
.0008
.0000
.0003
.0025
.0125
.0420
.1009
.1766
.2270
.2128
.1419
.0639
.0174
.0022
.0000
.0001
.0008
.0048
.0199
.0591
.1281
.2039
.2367
.1954
.1088
.0368
.0057
.0000
.0000
.0002
.0015
.0078
.0291
.0792
.1585
.2311
.2397
.1678
.0712
.0138
.0000
.0000
.0000
.0004
.0024
.0115
.0401
.1032
.1936
.2581
.2323
.1267
.0317
.0000
.0000
.0000
.0001
.0005
.0033
.0155
.0532
.1329
.2362
.2835
.2062
.0687
.0000
.0000
.0000
.0000
.0001
.0006
.0040
.0193
.0683
.1720
.2924
.3012
.1422
.0000
.0000
.0000
.0000
.0000
.0000
.0005
.0038
.0213
.0852
.2301
.3766
.2824
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0021
.0173
.0988
.3413
.5404
.0000
.0001
.0010
.0052
.0191
.0515
.1048
.1647
.2013
.1914
.1404
.0780
.0000
.0000
.0003
.0016
.0074
.0245
.0612
.1181
.1771
.2066
.1859
.1268
.0000
.0000
.0001
.0004
.0024
.0096
.0298
.0710
.1319
.1906
.2123
.1792
.0000
.0000
.0000
.0001
.0006
.0030
.0116
.0348
.0811
.1472
.2061
.2186
.0000
.0000
.0000
.0000
.0001
.0007
.0034
.0131
.0393
.0917
.1651
.2252
.0000
.0000
.0000
.0000
.0000
.0001
.0007
.0035
.0138
.0430
.1032
.1876
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0005
.0030
.0132
.0449
.1156
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0003
.0019
.0105
.0428
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0006
.0049
26/11/16 10:36 AM
Appendix B
TABLE 5
995
Tables
BinomiAl ProBABiliTies (Continued )
p
x
.55
.60
.65
.70
.75
.80
.85
.90
.95
12
13
14
15
.0318
.0090
.0016
.0001
.0634
.0219
.0047
.0005
.1110
.0476
.0126
.0016
.1700
.0916
.0305
.0047
.2252
.1559
.0668
.0134
.2501
.2309
.1319
.0352
.2184
.2856
.2312
.0874
.1285
.2669
.3432
.2059
.0307
.1348
.3658
.4633
18
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
.0000
.0000
.0001
.0009
.0039
.0134
.0354
.0742
.1248
.1694
.1864
.1657
.1181
.0666
.0291
.0095
.0022
.0003
.0000
.0000
.0000
.0000
.0002
.0011
.0045
.0145
.0374
.0771
.1284
.1734
.1892
.1655
.1146
.0614
.0246
.0069
.0012
.0001
.0000
.0000
.0000
.0000
.0002
.0012
.0047
.0151
.0385
.0794
.1327
.1792
.1941
.1664
.1104
.0547
.0190
.0042
.0004
.0000
.0000
.0000
.0000
.0000
.0002
.0012
.0046
.0149
.0386
.0811
.1376
.1873
.2017
.1681
.1046
.0458
.0126
.0016
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0010
.0042
.0139
.0376
.0820
.1436
.1988
.2130
.1704
.0958
.0338
.0056
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0008
.0033
.0120
.0350
.0816
.1507
.2153
.2297
.1723
.0811
.0180
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0004
.0022
.0091
.0301
.0787
.1592
.2406
.2556
.1704
.0536
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0010
.0052
.0218
.0700
.1680
.2835
.3002
.1501
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0014
.0093
.0473
.1683
.3763
.3972
20
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
.0000
.0000
.0000
.0002
.0013
.0049
.0150
.0366
.0727
.1185
.1593
.1771
.1623
.1221
.0746
.0365
.0139
.0040
.0008
.0001
.0000
.0000
.0000
.0000
.0000
.0003
.0013
.0049
.0146
.0355
.0710
.1171
.1597
.1797
.1659
.1244
.0746
.0350
.0123
.0031
.0005
.0000
.0000
.0000
.0000
.0000
.0000
.0003
.0012
.0045
.0136
.0336
.0686
.1158
.1614
.1844
.1712
.1272
.0738
.0323
.0100
.0020
.0002
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0010
.0039
.0120
.0308
.0654
.1144
.1643
.1916
.1789
.1304
.0716
.0278
.0068
.0008
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0008
.0030
.0099
.0271
.0609
.1124
.1686
.2023
.1897
.1339
.0669
.0211
.0032
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0005
.0020
.0074
.0222
.0545
.1091
.1746
.2182
.2054
.1369
.0576
.0115
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0002
.0011
.0046
.0160
.0454
.1028
.1821
.2428
.2293
.1368
.0388
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0004
.0020
.0089
.0319
.0898
.1901
.2852
.2702
.1216
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0003
.0022
.0133
.0596
.1887
.3774
.3585
n
94160_appB_ptg01.indd 995
26/11/16 10:36 AM
996
Appendix B
TABLE 6
94160_appB_ptg01.indd 996
Tables
vAlues of e−m
m
e2m
m
e2m
m
e2m
.00
.05
.10
.15
.20
1.0000
.9512
.9048
.8607
.8187
2.00
2.05
2.10
2.15
2.20
.1353
.1287
.1225
.1165
.1108
4.00
4.05
4.10
4.15
4.20
.0183
.0174
.0166
.0158
.0150
.25
.30
.35
.40
.45
.7788
.7408
.7047
.6703
.6376
2.25
2.30
2.35
2.40
2.45
.1054
.1003
.0954
.0907
.0863
4.25
4.30
4.35
4.40
4.45
.0143
.0136
.0129
.0123
.0117
.50
.55
.60
.65
.70
.6065
.5769
.5488
.5220
.4966
2.50
2.55
2.60
2.65
2.70
.0821
.0781
.0743
.0707
.0672
4.50
4.55
4.60
4.65
4.70
.0111
.0106
.0101
.0096
.0091
.75
.80
.85
.90
.95
.4724
.4493
.4274
.4066
.3867
2.75
2.80
2.85
2.90
2.95
.0639
.0608
.0578
.0550
.0523
4.75
4.80
4.85
4.90
4.95
.0087
.0082
.0078
.0074
.0071
1.00
1.05
1.10
1.15
1.20
.3679
.3499
.3329
.3166
.3012
3.00
3.05
3.10
3.15
3.20
.0498
.0474
.0450
.0429
.0408
5.00
6.00
7.00
8.00
9.00
10.00
1.25
1.30
1.35
1.40
1.45
.2865
.2725
.2592
.2466
.2346
3.25
3.30
3.35
3.40
3.45
.0388
.0369
.0351
.0334
.0317
1.50
1.55
1.60
1.65
1.70
.2231
.2122
.2019
.1920
.1827
3.50
3.55
3.60
3.65
3.70
.0302
.0287
.0273
.0260
.0247
1.75
1.80
1.85
1.90
1.95
.1738
.1653
.1572
.1496
.1423
3.75
3.80
3.85
3.90
3.95
.0235
.0224
.0213
.0202
.0193
.0067
.0025
.0009
.000335
.000123
.000045
26/11/16 10:36 AM
Appendix B
997
Tables
TABLE 7 Poisson ProBABiliTies
entries in the table give the probability of x occurrences for a Poisson process with a mean m. for
example, when m ∙ 2.5, the probability of four occurrences is .1336.
m
x
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
0
1
2
3
4
.9048
.0905
.0045
.0002
.0000
.8187
.1637
.0164
.0011
.0001
.7408
.2222
.0333
.0033
.0002
.6703
.2681
.0536
.0072
.0007
.6065
.3033
.0758
.0126
.0016
.5488
.3293
.0988
.0198
.0030
.4966
.3476
.1217
.0284
.0050
.4493
.3595
.1438
.0383
.0077
.4066
.3659
.1647
.0494
.0111
.3679
.3679
.1839
.0613
.0153
5
6
7
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0000
.0000
.0002
.0000
.0000
.0004
.0000
.0000
.0007
.0001
.0000
.0012
.0002
.0000
.0020
.0003
.0000
.0031
.0005
.0001
m
x
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
0
1
2
3
4
.3329
.3662
.2014
.0738
.0203
.3012
.3614
.2169
.0867
.0260
.2725
.3543
.2303
.0998
.0324
.2466
.3452
.2417
.1128
.0395
.2231
.3347
.2510
.1255
.0471
.2019
.3230
.2584
.1378
.0551
.1827
.3106
.2640
.1496
.0636
.1653
.2975
.2678
.1607
.0723
.1496
.2842
.2700
.1710
.0812
.1353
.2707
.2707
.1804
.0902
5
6
7
8
9
.0045
.0008
.0001
.0000
.0000
.0062
.0012
.0002
.0000
.0000
.0084
.0018
.0003
.0001
.0000
.0111
.0026
.0005
.0001
.0000
.0141
.0035
.0008
.0001
.0000
.0176
.0047
.0011
.0002
.0000
.0216
.0061
.0015
.0003
.0001
.0260
.0078
.0020
.0005
.0001
.0309
.0098
.0027
.0006
.0001
.0361
.0120
.0034
.0009
.0002
m
94160_appB_ptg01.indd 997
x
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
0
1
2
3
4
.1225
.2572
.2700
.1890
.0992
.1108
.2438
.2681
.1966
.1082
.1003
.2306
.2652
.2033
.1169
.0907
.2177
.2613
.2090
.1254
.0821
.2052
.2565
.2138
.1336
.0743
.1931
.2510
.2176
.1414
.0672
.1815
.2450
.2205
.1488
.0608
.1703
.2384
.2225
.1557
.0550
.1596
.2314
.2237
.1622
.0498
.1494
.2240
.2240
.1680
5
6
7
8
9
.0417
.0146
.0044
.0011
.0003
.0476
.0174
.0055
.0015
.0004
.0538
.0206
.0068
.0019
.0005
.0602
.0241
.0083
.0025
.0007
.0668
.0278
.0099
.0031
.0009
.0735
.0319
.0118
.0038
.0011
.0804
.0362
.0139
.0047
.0014
.0872
.0407
.0163
.0057
.0018
.0940
.0455
.0188
.0068
.0022
.1008
.0504
.0216
.0081
.0027
10
11
12
.0001
.0000
.0000
.0001
.0000
.0000
.0001
.0000
.0000
.0002
.0000
.0000
.0002
.0000
.0000
.0003
.0001
.0000
.0004
.0001
.0000
.0005
.0001
.0000
.0006
.0002
.0000
.0008
.0002
.0001
26/11/16 10:36 AM
998
Appendix B
TABLE 7
Tables
Poisson ProBABiliTies (Continued )
m
x
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0
0
1
2
3
4
.0450
.1397
.2165
.2237
.1734
.0408
.1304
.2087
.2226
.1781
.0369
.1217
.2008
.2209
.1823
.0344
.1135
.1929
.2186
.1858
.0302
.1057
.1850
.2158
.1888
.0273
.0984
.1771
.2125
.1912
.0247
.0915
.1692
.2087
.1931
.0224
.0850
.1615
.2046
.1944
.0202
.0789
.1539
.2001
.1951
.0183
.0733
.1465
.1954
.1954
5
6
7
8
9
.1075
.0555
.0246
.0095
.0033
.1140
.0608
.0278
.0111
.0040
.1203
.0662
.0312
.0129
.0047
.1264
.0716
.0348
.0148
.0056
.1322
.0771
.0385
.0169
.0066
.1377
.0826
.0425
.0191
.0076
.1429
.0881
.0466
.0215
.0089
.1477
.0936
.0508
.0241
.0102
.1522
.0989
.0551
.0269
.0116
.1563
.1042
.0595
.0298
.0132
10
11
12
13
14
.0010
.0003
.0001
.0000
.0000
.0013
.0004
.0001
.0000
.0000
.0016
.0005
.0001
.0000
.0000
.0019
.0006
.0002
.0000
.0000
.0023
.0007
.0002
.0001
.0000
.0028
.0009
.0003
.0001
.0000
.0033
.0011
.0003
.0001
.0000
.0039
.0013
.0004
.0001
.0000
.0045
.0016
.0005
.0002
.0000
.0053
.0019
.0006
.0002
.0001
m
x
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
4.9
5.0
0
1
2
3
4
.0166
.0679
.1393
.1904
.1951
.0150
.0630
.1323
.1852
.1944
.0136
.0583
.1254
.1798
.1933
.0123
.0540
.1188
.1743
.1917
.0111
.0500
.1125
.1687
.1898
.0101
.0462
.1063
.1631
.1875
.0091
.0427
.1005
.1574
.1849
.0082
.0395
.0948
.1517
.1820
.0074
.0365
.0894
.1460
.1789
.0067
.0337
.0842
.1404
.1755
5
6
7
8
9
.1600
.1093
.0640
.0328
.0150
.1633
.1143
.0686
.0360
.0168
.1662
.1191
.0732
.0393
.0188
.1687
.1237
.0778
.0428
.0209
.1708
.1281
.0824
.0463
.0232
.1725
.1323
.0869
.0500
.0255
.1738
.1362
.0914
.0537
.0280
.1747
.1398
.0959
.0575
.0307
.1753
.1432
.1002
.0614
.0334
.1755
.1462
.1044
.0653
.0363
10
11
12
13
14
15
.0061
.0023
.0008
.0002
.0001
.0000
.0071
.0027
.0009
.0003
.0001
.0000
.0081
.0032
.0011
.0004
.0001
.0000
.0092
.0037
.0014
.0005
.0001
.0000
.0104
.0043
.0016
.0006
.0002
.0001
.0118
.0049
.0019
.0007
.0002
.0001
.0132
.0056
.0022
.0008
.0003
.0001
.0147
.0064
.0026
.0009
.0003
.0001
.0164
.0073
.0030
.0011
.0004
.0001
.0181
.0082
.0034
.0013
.0005
.0002
m
94160_appB_ptg01.indd 998
x
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
6.0
0
1
2
3
4
.0061
.0311
.0793
.1348
.1719
.0055
.0287
.0746
.1293
.1681
.0050
.0265
.0701
.1239
.1641
.0045
.0244
.0659
.1185
.1600
.0041
.0225
.0618
.1133
.1558
.0037
.0207
.0580
.1082
.1515
.0033
.0191
.0544
.1033
.1472
.0030
.0176
.0509
.0985
.1428
.0027
.0162
.0477
.0938
.1383
.0025
.0149
.0446
.0892
.1339
26/11/16 10:36 AM
Appendix B
TABLE 7
999
Tables
Poisson ProBABiliTies (Continued )
m
x
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
6.0
5
6
7
8
9
.1753
.1490
.1086
.0692
.0392
.1748
.1515
.1125
.0731
.0423
.1740
.1537
.1163
.0771
.0454
.1728
.1555
.1200
.0810
.0486
.1714
.1571
.1234
.0849
.0519
.1697
.1587
.1267
.0887
.0552
.1678
.1594
.1298
.0925
.0586
.1656
.1601
.1326
.0962
.0620
.1632
.1605
.1353
.0998
.0654
.1606
.1606
.1377
.1033
.0688
10
11
12
13
14
.0200
.0093
.0039
.0015
.0006
.0220
.0104
.0045
.0018
.0007
.0241
.0116
.0051
.0021
.0008
.0262
.0129
.0058
.0024
.0009
.0285
.0143
.0065
.0028
.0011
.0309
.0157
.0073
.0032
.0013
.0334
.0173
.0082
.0036
.0015
.0359
.0190
.0092
.0041
.0017
.0386
.0207
.0102
.0046
.0019
.0413
.0225
.0113
.0052
.0022
15
16
17
.0002
.0001
.0000
.0002
.0001
.0000
.0003
.0001
.0000
.0003
.0001
.0000
.0004
.0001
.0000
.0005
.0002
.0001
.0006
.0002
.0001
.0007
.0002
.0001
.0008
.0003
.0001
.0009
.0003
.0001
m
x
6.1
6.2
6.3
6.4
6.5
6.6
6.7
6.8
6.9
7.0
0
1
2
3
4
.0022
.0137
.0417
.0848
.1294
.0020
.0126
.0390
.0806
.1249
.0018
.0116
.0364
.0765
.1205
.0017
.0106
.0340
.0726
.1162
.0015
.0098
.0318
.0688
.1118
.0014
.0090
.0296
.0652
.1076
.0012
.0082
.0276
.0617
.1034
.0011
.0076
.0258
.0584
.0992
.0010
.0070
.0240
.0552
.0952
.0009
.0064
.0223
.0521
.0912
5
6
7
8
9
.1579
.1605
.1399
.1066
.0723
.1549
.1601
.1418
.1099
.0757
.1519
.1595
.1435
.1130
.0791
.1487
.1586
.1450
.1160
.0825
.1454
.1575
.1462
.1188
.0858
.1420
.1562
.1472
.1215
.0891
.1385
.1546
.1480
.1240
.0923
.1349
.1529
.1486
.1263
.0954
.1314
.1511
.1489
.1284
.0985
.1277
.1490
.1490
.1304
.1014
10
11
12
13
14
.0441
.0245
.0124
.0058
.0025
.0469
.0265
.0137
.0065
.0029
.0498
.0285
.0150
.0073
.0033
.0528
.0307
.0164
.0081
.0037
.0558
.0330
.0179
.0089
.0041
.0588
.0353
.0194
.0098
.0046
.0618
.0377
.0210
.0108
.0052
.0649
.0401
.0227
.0119
.0058
.0679
.0426
.0245
.0130
.0064
.0710
.0452
.0264
.0142
.0071
15
16
17
18
19
.0010
.0004
.0001
.0000
.0000
.0012
.0005
.0002
.0001
.0000
.0014
.0005
.0002
.0001
.0000
.0016
.0006
.0002
.0001
.0000
.0018
.0007
.0003
.0001
.0000
.0020
.0008
.0003
.0001
.0000
.0023
.0010
.0004
.0001
.0000
.0026
.0011
.0004
.0002
.0001
.0029
.0013
.0005
.0002
.0001
.0033
.0014
.0006
.0002
.0001
m
94160_appB_ptg01.indd 999
x
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
7.9
8.0
0
1
2
3
4
.0008
.0059
.0208
.0492
.0874
.0007
.0054
.0194
.0464
.0836
.0007
.0049
.0180
.0438
.0799
.0006
.0045
.0167
.0413
.0764
.0006
.0041
.0156
.0389
.0729
.0005
.0038
.0145
.0366
.0696
.0005
.0035
.0134
.0345
.0663
.0004
.0032
.0125
.0324
.0632
.0004
.0029
.0116
.0305
.0602
.0003
.0027
.0107
.0286
.0573
26/11/16 10:36 AM
1000
Appendix B
TABLE 7
Tables
Poisson ProBABiliTies (Continued)
m
x
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
7.9
8.0
5
6
7
8
9
.1241
.1468
.1489
.1321
.1042
.1204
.1445
.1486
.1337
.1070
.1167
.1420
.1481
.1351
.1096
.1130
.1394
.1474
.1363
.1121
.1094
.1367
.1465
.1373
.1144
.1057
.1339
.1454
.1382
.1167
.1021
.1311
.1442
.1388
.1187
.0986
.1282
.1428
.1392
.1207
.0951
.1252
.1413
.1395
.1224
.0916
.1221
.1396
.1396
.1241
10
11
12
13
14
.0740
.0478
.0283
.0154
.0078
.0770
.0504
.0303
.0168
.0086
.0800
.0531
.0323
.0181
.0095
.0829
.0558
.0344
.0196
.0104
.0858
.0585
.0366
.0211
.0113
.0887
.0613
.0388
.0227
.0123
.0914
.0640
.0411
.0243
.0134
.0941
.0667
.0434
.0260
.0145
.0967
.0695
.0457
.0278
.0157
.0993
.0722
.0481
.0296
.0169
15
16
17
18
19
.0037
.0016
.0007
.0003
.0001
.0041
.0019
.0008
.0003
.0001
.0046
.0021
.0009
.0004
.0001
.0051
.0024
.0010
.0004
.0002
.0057
.0026
.0012
.0005
.0002
.0062
.0030
.0013
.0006
.0002
.0069
.0033
.0015
.0006
.0003
.0075
.0037
.0017
.0007
.0003
.0083
.0041
.0019
.0008
.0003
.0090
.0045
.0021
.0009
.0004
20
21
.0000
.0000
.0000
.0000
.0001
.0000
.0001
.0000
.0001
.0000
.0001
.0000
.0001
.0000
.0001
.0000
.0001
.0001
.0002
.0001
m
94160_appB_ptg01.indd 1000
x
8.1
8.2
8.3
8.4
8.5
8.6
8.7
8.8
8.9
9.0
0
1
2
3
4
.0003
.0025
.0100
.0269
.0544
.0003
.0023
.0092
.0252
.0517
.0002
.0021
.0086
.0237
.0491
.0002
.0019
.0079
.0222
.0466
.0002
.0017
.0074
.0208
.0443
.0002
.0016
.0068
.0195
.0420
.0002
.0014
.0063
.0183
.0398
.0002
.0013
.0058
.0171
.0377
.0001
.0012
.0054
.0160
.0357
.0001
.0011
.0050
.0150
.0337
5
6
7
8
9
.0882
.1191
.1378
.1395
.1256
.0849
.1160
.1358
.1392
.1269
.0816
.1128
.1338
.1388
.1280
.0784
.1097
.1317
.1382
.1290
.0752
.1066
.1294
.1375
.1299
.0722
.1034
.1271
.1366
.1306
.0692
.1003
.1247
.1356
.1311
.0663
.0972
.1222
.1344
.1315
.0635
.0941
.1197
.1332
.1317
.0607
.0911
.1171
.1318
.1318
10
11
12
13
14
.1017
.0749
.0505
.0315
.0182
.1040
.0776
.0530
.0334
.0196
.1063
.0802
.0555
.0354
.0210
.1084
.0828
.0579
.0374
.0225
.1104
.0853
.0604
.0395
.0240
.1123
.0878
.0629
.0416
.0256
.1140
.0902
.0654
.0438
.0272
.1157
.0925
.0679
.0459
.0289
.1172
.0948
.0703
.0481
.0306
.1186
.0970
.0728
.0504
.0324
15
16
17
18
19
.0098
.0050
.0024
.0011
.0005
.0107
.0055
.0026
.0012
.0005
.0116
.0060
.0029
.0014
.0006
.0126
.0066
.0033
.0015
.0007
.0136
.0072
.0036
.0017
.0008
.0147
.0079
.0040
.0019
.0009
.0158
.0086
.0044
.0021
.0010
.0169
.0093
.0048
.0024
.0011
.0182
.0101
.0053
.0026
.0012
.1094
.0109
.0058
.0029
.0014
20
21
22
.0002
.0001
.0000
.0002
.0001
.0000
.0002
.0001
.0000
.0003
.0001
.0000
.0003
.0001
.0001
.0004
.0002
.0001
.0004
.0002
.0001
.0005
.0002
.0001
.0005
.0002
.0001
.0006
.0003
.0001
26/11/16 10:36 AM
Appendix B
TABLE 7
1001
Tables
Poisson ProBABiliTies (Continued )
m
x
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
10
0
1
2
3
4
.0001
.0010
.0046
.0140
.0319
.0001
.0009
.0043
.0131
.0302
.0001
.0009
.0040
.0123
.0285
.0001
.0008
.0037
.0115
.0269
.0001
.0007
.0034
.0107
.0254
.0001
.0007
.0031
.0100
.0240
.0001
.0006
.0029
.0093
.0226
.0001
.0005
.0027
.0087
.0213
.0001
.0005
.0025
.0081
.0201
.0000
.0005
.0023
.0076
.0189
5
6
7
8
9
.0581
.0881
.1145
.1302
.1317
.0555
.0851
.1118
.1286
.1315
.0530
.0822
.1091
.1269
.1311
.0506
.0793
.1064
.1251
.1306
.0483
.0764
.1037
.1232
.1300
.0460
.0736
.1010
.1212
.1293
.0439
.0709
.0982
.1191
.1284
.0418
.0682
.0955
.1170
.1274
.0398
.0656
.0928
.1148
.1263
.0378
.0631
.0901
.1126
.1251
10
11
12
13
14
.1198
.0991
.0752
.0526
.0342
.1210
.1012
.0776
.0549
.0361
.1219
.1031
.0799
.0572
.0380
.1228
.1049
.0822
.0594
.0399
.1235
.1067
.0844
.0617
.0419
.1241
.1083
.0866
.0640
.0439
.1245
.1098
.0888
.0662
.0459
.1249
.1112
.0908
.0685
.0479
.1250
.1125
.0928
.0707
.0500
.1251
.1137
.0948
.0729
.0521
15
16
17
18
19
.0208
.0118
.0063
.0032
.0015
.0221
.0127
.0069
.0035
.0017
.0235
.0137
.0075
.0039
.0019
.0250
.0147
.0081
.0042
.0021
.0265
.0157
.0088
.0046
.0023
.0281
.0168
.0095
.0051
.0026
.0297
.0180
.0103
.0055
.0028
.0313
.0192
.0111
.0060
.0031
.0330
.0204
.0119
.0065
.0034
.0347
.0217
.0128
.0071
.0037
20
21
22
23
24
.0007
.0003
.0001
.0000
.0000
.0008
.0003
.0001
.0001
.0000
.0009
.0004
.0002
.0001
.0000
.0010
.0004
.0002
.0001
.0000
.0011
.0005
.0002
.0001
.0000
.0012
.0006
.0002
.0001
.0000
.0014
.0006
.0003
.0001
.0000
.0015
.0007
.0003
.0001
.0001
.0017
.0008
.0004
.0002
.0001
.0019
.0009
.0004
.0002
.0001
m
94160_appB_ptg01.indd 1001
x
11
12
13
14
15
16
17
18
19
20
0
1
2
3
4
.0000
.0002
.0010
.0037
.0102
.0000
.0001
.0004
.0018
.0053
.0000
.0000
.0002
.0008
.0027
.0000
.0000
.0001
.0004
.0013
.0000
.0000
.0000
.0002
.0006
.0000
.0000
.0000
.0001
.0003
.0000
.0000
.0000
.0000
.0001
.0000
.0000
.0000
.0000
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
5
6
7
8
9
.0224
.0411
.0646
.0888
.1085
.0127
.0255
.0437
.0655
.0874
.0070
.0152
.0281
.0457
.0661
.0037
.0087
.0174
.0304
.0473
.0019
.0048
.0104
.0194
.0324
.0010
.0026
.0060
.0120
.0213
.0005
.0014
.0034
.0072
.0135
.0002
.0007
.0018
.0042
.0083
.0001
.0004
.0010
.0024
.0050
.0001
.0002
.0005
.0013
.0029
10
11
12
13
14
.1194
.1194
.1094
.0926
.0728
.1048
.1144
.1144
.1056
.0905
.0859
.1015
.1099
.1099
.1021
.0663
.0844
.0984
.1060
.1060
.0486
.0663
.0829
.0956
.1024
.0341
.0496
.0661
.0814
.0930
.0230
.0355
.0504
.0658
.0800
.0150
.0245
.0368
.0509
.0655
.0095
.0164
.0259
.0378
.0514
.0058
.0106
.0176
.0271
.0387
26/11/16 10:36 AM
1002
Appendix B
TABLE 7
Tables
Poisson ProBABiliTies (Continued )
m
94160_appB_ptg01.indd 1002
x
11
12
13
14
15
16
17
18
19
20
15
16
17
18
19
.0534
.0367
.0237
.0145
.0084
.0724
.0543
.0383
.0256
.0161
.0885
.0719
.0550
.0397
.0272
.0989
.0866
.0713
.0554
.0409
.1024
.0960
.0847
.0706
.0557
.0992
.0992
.0934
.0830
.0699
.0906
.0963
.0963
.0909
.0814
.0786
.0884
.0936
.0936
.0887
.0650
.0772
.0863
.0911
.0911
.0516
.0646
.0760
.0844
.0888
20
21
22
23
24
.0046
.0024
.0012
.0006
.0003
.0097
.0055
.0030
.0016
.0008
.0177
.0109
.0065
.0037
.0020
.0286
.0191
.0121
.0074
.0043
.0418
.0299
.0204
.0133
.0083
.0559
.0426
.0310
.0216
.0144
.0692
.0560
.0433
.0320
.0226
.0798
.0684
.0560
.0438
.0328
.0866
.0783
.0676
.0559
.0442
.0888
.0846
.0769
.0669
.0557
25
26
27
28
29
.0001
.0000
.0000
.0000
.0000
.0004
.0002
.0001
.0000
.0000
.0010
.0005
.0002
.0001
.0001
.0024
.0013
.0007
.0003
.0002
.0050
.0029
.0016
.0009
.0004
.0092
.0057
.0034
.0019
.0011
.0154
.0101
.0063
.0038
.0023
.0237
.0164
.0109
.0070
.0044
.0336
.0246
.0173
.0117
.0077
.0446
.0343
.0254
.0181
.0125
30
31
32
33
34
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0000
.0000
.0000
.0000
.0002
.0001
.0001
.0000
.0000
.0006
.0003
.0001
.0001
.0000
.0013
.0007
.0004
.0002
.0001
.0026
.0015
.0009
.0005
.0002
.0049
.0030
.0018
.0010
.0006
.0083
.0054
.0034
.0020
.0012
35
36
37
38
39
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0001
.0001
.0000
.0000
.0000
.0003
.0002
.0001
.0000
.0000
.0007
.0004
.0002
.0001
.0001
26/11/16 10:36 AM