Roll No.__________________
28 August, 2015
Sarhad University, Peshawar
(Distance Education)
Paper
: Elementary Statistics-(A)-MA209
Examination: Final, Spring-2015
Total Marks: 70, Passing Marks (35)
Time Allowed : 3 hours
NOTE: Q.1 is compulsory, attempt any four questions from the remaining. All questions carry equal marks.
Mobile phones and other electronic gadgets are not allowed.
Q.1
Choose the correct answer.
(i)
A diagram that presents properties that look like slices of pizza is known as________.
(a) bar diagram
 x
n
(ii)
i 1
i
(b) histogram
(c) pie diagram
(d) None of these
 X   _____
(a) -1
(b) 0
(c) 1
(d) 2
(iii) Mode of the 23, 21, 22, 30, 90, 31, 22, 91 is _________________.
(a) 90
(iv)
(b) 91
(d) None of these
(c) 32
(d) 0
Variance of 2, 2, 2, 2 and 2 is ________.
(a) 5
(b) 10
(v)
The index number for the base period is always equal to _________.
(a) 1
(b) 10
(c) 100
(d) 1000
(vi)
Which of the following values cannot be the probability of an event?
(a) 0
(vii)
(b) 0.36
(c) 0.82
(d) 1.75
In probability distribution, the sum of all the probabilities always equal to _______.
(a) 1
Q.2
(c) 22
(b) 0.5
(c) 0
(d) None of these
Tabulate the following marks in grouped frequency distribution.
74
49
95
90
52
88
96
72
56
64
97
59
103
118
101
62
96
82
65
85
91
83
99
52
76
84
89
110
105
116
77
96
84
62
58
66
80
54
75
55
99
78
104
100
104
66
96
83
57
60
51
92
88
64
63
95
78
114
120
121
Taking 10 units as the width of class interval. Indicate the class limits and class boundaries
clearly.
Q.3
Compute the arithmetic mean, geometric mean & harmonic mean for the data given below.
X
f
1
2
2
5
Elementary Statistics-(A)-MA209-Spring-2015
3
7
4
13
5
21
6
16
7
8
8
3
Page 1 of 2
Roll No.__________________
28 August, 2015
Q.4
Two candidates X and Y at BBA (Hons) examination obtained the following marks in ten papers.
Which of the candidate showed a more consistent performance?
Paper
X
Y
Q.5
I
58
39
III
76
86
IV
80
72
V
47
75
VI
72
69
VII
61
57
VIII
59
49
IX
77
83
X
48
66
Compute the consumer price index number for 2014 on the basis of 2010 from the following data,
using (i) Aggregative Expenditure Method and (ii) the Household Budget Method.
Rice
Quantity consumed
in 2010 (Qo)
30
Prices in
2010 (Po)
45
Prices in
2014 (Pn)
60
Wheat
30
18
32
Gram
5
60
90
Sugar
5
35
55
Ghee
20
65
100
Commodity
Q.6
II
49
38
a)
If a card is drawn from an ordinary deck of 52 playing cards, find the probability that (i) the
card is a black card, (ii) the card is a 10
b) In a single throw of two fair dice, find the probability that the product of the numbers on the dice
is (i) between 8 and 16.
Q.7
a)
b)
Find the value of k so that the function f x  defined as follows, may be a density function
f ( x)  k x 2 , 0  x  1
 0,
elsewhere
Let X has the following probability distribution
xi
f  xi 
Q.8
a)
1
2
3
4
0.10
0.20
0.20
0.25
5
6
0.15 0.10
Find E(X).
In the production of transistors, it is found that 25% of them are defective. If 8 transistors are
selected at random from a day’s production, what is the probability that 3 of them are defective?
b)
If X is a Poisson random variable with parameter   2, find the probabilities for x  0 & 1.
Elementary Statistics-(A)-MA209-Spring-2015
Page 2 of 2