4/4/25, 5:15 PM
[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
[BSCE-SE IHRP] Problem Set No. 13
Engineering Economy and Probability & Statistics
Points: -/71
1. Your Three-digit Roll Number *
254
Will be reviewed
2. A farmer selling eggs at 50 pesos a dozen gains 20%. If he sells the eggs at the
same price after the costs of the eggs rises by 12.5%, how much will be his new
gain in percent?
6.89%
6.65%
6.58%
6.12%
Will be reviewed
3. What rate (%) compounded quarterly is equivalent to 6% compounded semiannually?
5.93
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1/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
5.99
5.96
5.90
Will be reviewed
4. An asset is purchased for P 9,000.00. Its estimated economic life is 10 years after
which it will be sold for P 1,000.00. Find the depreciation in the first three years
using sum-of-years digit method.
P3,279.27
P3,927.27
P3,729.27
P3,792.72
Will be reviewed
5. A newly-acquired equipment requires an annual maintenance costs of P10,000. If
the annual maintenance cost is increased by 20% each year every year for 10 years,
what is the estimated present worth of the maintenance costs if money is worth
15%?
P105,712.33
P106,101.37
P107,490.12
P108,890.11
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2/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
Will be reviewed
6. A young engineer borrowed P 10,000 at 12% interest and paid P 2,000 per annum
for the last 4 years. What does he have to pay at the end of the fifth year in order
to pay off his loan?
P 6,999.39
P 6,292.93
P 6,222.39
P 6,922.93
Will be reviewed
7. A manufacturer produces certain items at a labor cost of P 115 each, material cost
of P 76 each and variable cost of P 2.32 each. If the item has a unit price of P 600,
how many units must be manufactured each month for the manufacturer to break
even if the monthly overhead is P428,000.
1,033
1,037
1,043
1,053
Will be reviewed
8. A nominal interest of 3% compounded continuously is given on the account. What
is the accumulated amount of P10,000 after 10 years?
P13,610.10
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3/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P13,498.60
P13,500.10
P13,439.16
Will be reviewed
9. A factory operator bought a diesel generator set for P10,000.00 and agreed to pay
the dealer uniform sum at the end of each year for 5 years at 8% interest
compounded annually, that the final payment will cancel the debt for principal and
interest. What is the annual payment?
P2,500.57
P2,544.45
P2,540.56
P2,504.57
Will be reviewed
10. Mandarin Bank advertises 9.5% account that yields 9.84% annually. Find how often
the interest is compounded.
Monthly
Bimonthly
Quarterly
Annually
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
Will be reviewed
11. You borrow P3,500.00 for one year from a friend at an interest rate of 1.5% per
month instead of taking a loan from a bank at a rate of 18% per year. How much
lesser you will pay by borrowing the money from the bank?
P62.44
P44.55
P54.66
P37.56
Will be reviewed
12. A young engineer borrowed P 10,000 at 12% interest and paid P 2,000 per annum
for the last 4 years. What does he have to pay at the end of the fifth year in order
to pay off his loan?
P 6,999.39
P 6,292.93
P 6,222.39
P 6,922.93
Will be reviewed
13. Mr. Don’t deposited P 1,000, P 1,500 and P 2,000 at the end of the 2nd year, 3rd
year and 4th year, respectively in a savings account which earned 10% per annum.
How much is in the account at the end of the 4th year?
P 4,880.00
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P 4,820.00
P 4,860.00
P 4,840.00
Will be reviewed
14. Determine which of the following yields the highest effective interest?
12% compounded monthly
12.15% compounded semi-annually
11.85% compounded quarterly
11.75% compounded continuously
Will be reviewed
15. Find the interest on P6,800.00 for 3 years at 11% simple interest.
P 1,875.00
P 1,987.00
P 2,144.00
P 2,244.00
Will be reviewed
16. The first cost of a certain equipment is P324,000 and a salvage value of P50,000 at
the end of its life of 4 years. If money is worth 6% compounded annually, find the
capitalized cost.
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6/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P540,090.34
P541,033.66
P540,589.12
P541,320.99
Will be reviewed
17. An asset is purchased for P 9,000.00. Its estimated economic life is 10 years after
which it will be sold for P 1,000.00. Find the depreciation in the first three years
using sum-of-years digit method.
P 3,279.27
P 3,927.27
P 3,729.27
P 3,792.72
Will be reviewed
18. A machine costs of P 8,000 and an estimated life of 10 years with a salvage value
of P 500. What is its book value after 8 years using straight line method?
P 2,000.00
P 2,100.00
P 2,200.00
P 2,300.00
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7/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
Will be reviewed
19. Find the annual payment to extinguish a debt of P10,000 payable for 6 years at
12% interest annually.
P2,324.62
P2,234.26
P2,432.26
P2,342.26
Will be reviewed
20. A company which manufactures electric motors has a production capacity of 200
motors a month. The variable costs are P150.00 per motor. The average selling
price of the motors is P275.00. Fixed costs of the company amount to P20,000 per
month which includes taxes. Find the number of motors that must be sold each
month to breakeven.
160
157
153
163
Will be reviewed
21. An amortization of a debt is in a form of a gradient series of P5,000 on the first
years, P4,500 on the second year, P4,000 on the third year and P3,500 on the
fourth year. What is the equivalent present worth of the debt if interest is 5%?
P15,093.28
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8/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P15,178.34
P15,890.12
P15,389
Will be reviewed
22. Find the effective rate on a nominal rate of 8.5% compounded continuously.
12.10%
7.58%
8.99 %
8.87 %
Will be reviewed
23. How long will it take for money to quadruple itself if invested at 20% compounded
quarterly?
5.9 years
7.1 years
10.7 years
3.6 years
Will be reviewed
24. To maintain its newly acquired equipment, the company needs P40,000 per year
for the first five years and P60,000 per year for the next five years. In addition, an
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
amount of P140,000 would also be needed at the end of the fifth and the eighth
years. At 6%, what is the present worth of these costs?
P594,218
P549,812
P549,821
P594,281
Will be reviewed
25. Determine the equal payment series future worth factor of an annuity of P15,000
per year for 25 years at 18% interest annually.
5.467
0.984
342.6
82.00
Will be reviewed
26. A machine costing P480,000 has a life expectancy of 12 years with a salvage value
of 10% of the first cost. What is the book value after five years using the declining
balance method?
P189,238
P196,432
P188,392
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10/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P183,892
Will be reviewed
27. Determine the capitalized cost of a project that cost P324,000 with an anticipated
salvage value of P50,000 at the end of four years, if money is worth 8%.
P1,084,079
P1,210,403
P1,792,480
P1,846,342
Will be reviewed
28. An engineer borrows P 100,000.00 at 10% effective annual interest. He must pay
back the load over 30 years with uniform monthly payments due on the first day of
each month. How much does the engineer pay each month?
P879.24
P828.93
P835.04
P839.20
Will be reviewed
29. An employee obtained a loan of P10,000 at the rate of 6% compounded annually
in order to build a house. How much must he pay monthly to amortize the loan
within a period of 10 years?
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11/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P102.11
P101.22
P110.22
P112.20
Will be reviewed
30. What is the present worth of a perpetuity of P10,000 annually if money is worth
10% compounded monthly?
P95,499.07
P96,387.89
P101,131.89
P105,122.34
Will be reviewed
31. An engineer invest P5,000 at the end of each year in an account which gives a
nominal annual interest of 7.5%, compounded continuously. Determine the total
worth of his investment at the end of 15 years.
P134,675.21
P133,545.58
P124,754.66
P143,543.13
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
Will be reviewed
32. What is the annual rate of interest if P265 is earned in four months on an
investment of P15,000?
4.5%
5.3%
6.8%
6.5%
Will be reviewed
33. If you borrow money from your friend with simple interest of 12%, find the present
worth of P20,000, which is due at the end of nine months.
42,352.32
15,123.14
23,143.72
18,348.62
Will be reviewed
34. Original cost = P120,000, Salvage value = P10,000, Life n = 10 years. Find the book
value after 5 years Using Straight Line Method.
55000
65000
75000
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13/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
45000
Will be reviewed
35. Compute the interest for an amount of P200,000 for a period of 8 years if the rate
was 16% compounded continuously.
P917,823
P591,328
P719,328
P519,328
Will be reviewed
36. Suppose that the interest rate is 10% per year, compounded annually. What is the
minimum amount of money that would have to be invested for a two-year period
in order to earn P300 in interest?
P1482.57
P1248.57
P1428.57
P1247.90
Will be reviewed
37. Dr. Anderson plans to make a series of gradient-type withdrawals from his savings
account over a 10 year period, beginning at the end of the second year. What
equal annual withdrawals would be equivalent to a withdrawal of P1000 at the end
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14/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
of the second year, P2000 at the end of the 3rd year ... P9000 at the end of the
10th year, if the bank pays 9% per year compounded annually?
P4124.12
P1512.42
P3797.80
P3252.89
Will be reviewed
38. First cost = P100,000, Salvage value = P20,000, Life n = 8 years, Rate of interest =
6%. Find the depreciation at the end of the 6th year using Sinking Fund Method.
P53,680.63
P8802.88
P56,380.63
P8082.88
Will be reviewed
39. A type of annuity where the payments are made at the start of each period,
beginning from the first period.
Ordinary annuity
Annuity due
Deferred annuity
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15/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
Perpetuity
Will be reviewed
40. A telephone company purchased a microwave radio equipment for P6,000,000.00.
Freight and installation charges amounted to 3% of the purchased price. If the
equipment shall be depreciated over a period of 8 years with a salvage value of
5%. Determine the Annual depreciation charge using the straight line method.
832,412
733,875
792,234
670,123
Will be reviewed
41. A small shop in Bulacan fabricates portable threshers for palay producers in the
locality. The shop can produce each thresher at labor cost of P1800. The cost of
materials for each unit is P2, 500. The variable costs amount to P650 per unit, while
fixed charges incurred per annum totals P69,000. If the portable threshers are sold
at P7, 800 per unit, how many units must be produced and sold per annum to
break-even?
25
24
23
22
Will be reviewed
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16/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
42. An asphalt road requires no upkeep until the end of 2 years when P60,000 will be
needed for repairs. After this P90, 000 will be needed for repairs at the end of each
year for the next 5 years, then P120, 000 at the end of each year for the next 5
years. If money is worth 14% compounded annually, what was the equivalent
uniform annual cost for the 12-year period?
Php 89567
Php 85785
Php 79246
Php 69858
Will be reviewed
43. It is the practice of almost all banks in the Philippines that when they grant a loan,
the interest for one year is automatically deducted from the principal amount
upon release of money to a borrower. Let us therefore assume that you applied for
a loan with a bank and the P80,000 was approved at an interest rate of 14% of
which P11,200 was deducted and you were given a check of P68,800. Since you
have to pay the amount of P80,000 one year after, what then will be the effective
interest rate?
16.02%
16.28%
16.32%
16.47%
Will be reviewed
44. A telephone company purchased a microwave radio equipment for P6,000,000.00.
Freight and installation charges amounted to 3% of the purchased price. If the
equipment shall be depreciated over a period of 8 years with a salvage value of
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17/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
5%. Determine the Depreciation charge during the 5th year using the sum-of-the
year’s digits method.
612,129
623,533
652,333
691,235
Will be reviewed
45. A man wishes to provide a fund for his retirement such that from his 60th to 70th
birthdays he will be able to withdraw equal sums of P18, 000 for his yearly
expenses. He invests equal amount for his 41st to 59th birthdays in a fund earning
10% compounded annually. How much should each of these amounts be?
2285
2023
2412
2833
Will be reviewed
46. In five years, P18,000 will be needed to pay for a building renovation. In order to
generate this sum, a sinking fund consisting of three annual payments is
established now. For tax purposes, no further payment will be made after three
years. What payments are necessary if money worth 15% per annum?
P3,919.52
P3,871.23
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18/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P3,781.32
P3,199.52
Will be reviewed
47. A loan of P2,000 is made for a period of 13 months, from January 1 to January 31
the following year, at a simple interest of 20%. What is the future amount is due at
the end of the loan period?
2344.33
2433.33
2233.33
2533.33
Will be reviewed
48. Determine the depreciation in the first year using declining balance method if First
Cost=P150,000 , Scrap Value= P9000 and Economic life years=8.
P44,474
P12,312
P105,526.17
P123,232.15
Will be reviewed
49. First cost = P900,000, Salvage value = P450,000, Life n = 5 years Find the sum of
the depreciation cost in the first 2 years using Sum of the Years Digit Method.
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19/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P250,000
P232,000
P270,000
P630,000
Will be reviewed
50. A man paid a 10% down payment of P2,000,000 for a house and lit and agreed to
pay the balance on monthly instalments for 5 years at an interest rate of 15%
compounded monthly. What was the monthly instalment in pesos?
P42,821.87
P42,980.00
P43,102.23
P43,189.03
Will be reviewed
51. A contract has been signed to lease a building at P20,000 per year with an annual
increase of P1,500 for 8 years. Payments are to be made at the end of each year,
starting one year from now. The prevailing interest rate is 7%. What lump sum paid
today would be equivalent to the 8-year lease-payment plan?
P152,341.36
P161,234.62
P147,609.37
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20/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
P155,234.54
Will be reviewed
52. It is the practice of almost all banks in the Philippines that when they grant a loan,
the interest for one year is automatically deducted from the principal amount
upon release of money to a borrower. Let us therefore assume that you applied for
a loan with a bank and the P80,000 was approved at an interest rate of 14% of
which P11,200 was deducted and you were given a check of P68,800. Since you
have to pay the amount of P80,000 one year after, what then will be the effective
interest rate?
16.02%
16.28%
16.32%
16.47%
Will be reviewed
53. A telephone company purchased a microwave radio equipment for P6,000,000.00.
Freight and installation charges amounted to 3% of the purchased price. If the
equipment shall be depreciated over a period of 8 years with a salvage value of
5%.Determine the Depreciation charge during the 5th year using the sum-of-the
year’s digits method.
612,129
623,533
652,333
691,235
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21/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
Will be reviewed
54. A man wishes to provide a fund for his retirement such that from his 60th to 70th
birthdays he will be able to withdraw equal sums of P18, 000 for his yearly
expenses. He invests equal amount for his 41st to 59th birthdays in a fund earning
10% compounded annually. How much should
each of these amounts be?
2285
2023
2412
2833
Will be reviewed
55. In five years, P18,000 will be needed to pay for a building renovation. In order to
generate this sum, a sinking fund consisting of three annual payments is
established now. For tax purposes, no further payment will be made after three
years. What payments are necessary if money worth 15% per annum?
P3,919.52
P3,871.23
P3,781.32
P3,199.52
Will be reviewed
56. ABC Corporation makes it a policy that for any new equipment purchased, the
annual depreciation cost should not exceed 20% of the first cost at any time with
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22/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
no salvage value. Determine the length of service life necessary if the depreciation
used is the SYD method.
7
8
9
10
Will be reviewed
57. A class has 12 boys and 4 girls. If three students are selected at random from
the class, what is the probability that they are all boys?
1/3
11/28
1/140
3/4
Will be reviewed
58. In a certain college, 4% of the men and 1% of the women are taller than 6
feet. Furthermore, 60% of the students are women. Now if a student is selected
at random and is taller than 6 feet, what is the probability that the student is a
woman?
5/11
3/11
2/11
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23/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
7/11
Will be reviewed
59. In a certain city in the Philippines, all seven digit telephone numbers begin with
350. How many telephone numbers maybe assigned to that city if the last four
digits should not begin or end in zero?
5040
8100
5184
10000
Will be reviewed
60. An anteater eats on the average 500 ants with a standard deviation of 100 ants for
a certain time. What is the probability that a certain anteater will not eat 300 to
600 ants at a given moment?
0.819
0.181
0.282
0.718
Will be reviewed
61. Ricardo was conducting an experiment. If his experiment resulted with a success
rate of 65% and a standard deviation of five, at least how many trials did he
conduct?
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24/29
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[BSCE-SE IHRP] Problem Set No. 13 (BSCE In-House Review 2024-2025)
8
69
110
45
Will be reviewed
62. Suppose that a certain type of magnetic tape contains on the average three
defects per 1000 feet. What is the probability that a roll of tape 1200 feet long
contains no defects?
0.03
0.06
0.09
0.12
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63. Two numbers are chosen at random from among the numbers 1 to 10
without replacement. Find the probability that the second number chosen is 5.
15%
25%
40%
10%
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64. A box contains 5 red, 3 white and 2 blue marbles. A sample of six marbles is
drawn without replacement. Find the probability that 3 are red, 2 are white and 1 is
blue.
2/7
1/7
1/14
1/21
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65. In how many ways can 3 boys and 2 girls sit in a row if the boys and girls are each
to sit together?
24
45
15
30
Will be reviewed
66. A delegation of 4 students is selected each year from a college to attend the
National Student Association annual meeting. In how many ways can the
delegation be chosen if there are 12 eligible students.
236
550
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675
495
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67. A student is to answer 8 out of 10 questions on an exam. How many choices has
he?
25
22
35
45
Will be reviewed
68. Box A contains nine cards numbered 1 through 9, and box B contains five
cards numbered 1 through 5. A box is chosen at random and a card is drawn. If the
number is even, find the probability that the card came from Box A.
15/18
32/85
22/55
10/19
Will be reviewed
69. A rifleman hits his target with probability of 0.4. He fires four times. Find the
probability that the man hits the target at least once.
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125/350
544/625
212/582
321/555
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70. A boy flips a coin 10 times, if the Probability of getting Head is 0.7 and the
Probability of getting tail is 0.3. Determine the probability of getting 5th head on
10th flip.
0.325
0.123
0.256
0.051
Will be reviewed
71. The weight of a student is Normally Distributed with a mean of 50 kg and standard
deviation of 5 kg. Determine the probability that the weight of student will fall
between 40 kg to 60 kg.
0.2563
0.6523
0.2356
0.954
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72. Compute the standard deviation of the normal distribution that approximates
a binomial distribution. There are 60 trials with a probability of failure of 0.25.
4.35
1.35
3.35
2.35
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