1) n=100 probability=0.

03,find P≥3
a) 0.4202 b) 0.5802 c) 0.7251 d) 0.3154

2) n=25,p=0.02 find the probability of selecting more than 3 ?

a) 0.0118 b) 0.3079 c) 0.0014 d) 0.0754

3) Average calls in one hour is 5.what’s the probability of 10 calls in one hour ?
a) 0.0254 b) 0.0181 c) 0.0356 d) 0.0123

4) n=5 and p=0.35 find P(x=4)

a) 0.044 b) 0.112 c) 0.075 d) 0.056

5) In normal distribution, what does bell shape represents?

a) A uniform distribution of data

b) A high probability of extreme values

c) A symmetrical distribution of data around the mean

d) The presence of outliers in the dataset

6) 4 coins are tossed. what is the probability that 3 head occurs?

a) 0.375 b) 0.250 c) 0.0625 d) 0.500

7) Which is not expected to be normally

a) Height of men of age 20

b) Age of staff in class

c) Age of entire population in country

d) Both b and c

8) Mean=5.03 kg standard deviation is 0.03 kg find the probability between 5-5.06 kg

a) 0.478 b) 0.220 c) 0.623 d) 0.145

9) A gambler plays a game chance150 times. On each play, he has a probability of 0.45 of winning. What is the
approximate probability of his winning between 62 and 70 times?

a) 0.521 b) 0.424 c) 0.346 d) 0.256

10) 𝜇=5.05, 𝛿=0.0202 find P(𝑥<5)

a) 0.4192 b) 0.4722 c) 0.3768 d) 0.2821

11) Which of the following statements regards to the Normal Distribution is NOT correct ?
a) Both tails of the distribution approach and meet the horizontal axis a finite value
b) Higher standard deviation leads to a flatter curve
c) The area under the curve represents probability and so totals to 1
d) It is described by its mean and standard deviation

12) An unprepared student makes random guesses for the ten true-false questions on a quiz. The
probability of at least one correct answered is:

a) 0.9990 b) 0.99 c) 0.9 d) none

13) The weights of bags of rice packed on a machine are normally distributed with mean
5.05kg and standard deviation 0.025kg.If a bag is picked at random, probability that its weight between 5kg
and 5.06kg is:
a.50.82% b.47.72% c.63.26% d.1.64%

14) PABX system of Nadia Travels receives an average of two calls in every three minutes. Assuming an
approximate Poisson distribution. What is the probability that four or more calls will be received during a
period of nine minutes?

a) 0.1512 b) 0.2851 c) 0.6667 d) 0.8488

15) An IQ test is administered by a well-known center. The test has a mean score of100 and standard
deviation of 15.If Ali's z-scores-1.20. what was his score on the test?

a) 82 b) 100 c) 112 d) 118

16) If mean is 30 and standard deviation is 2.Find age if Z=1.2

a) 33.5 b) 31.2 c) 32.4 d) 30.8

17) Which of the following statements as regards to Normal distribution is/are correct?

i) The area under the normal curve represents probability

ii) The area under the normal curve totals to 1

a) Both statements are correct

b) Both statements are not correct

c) Only statement (i) is correct

d) Only statement(ii) is correct

18) Which of the following statements as regards the Normal Distribution is NOT correct?

a) Both tails of the distribution approach and meet the horizontal axis at a finite but high value.
b) Higher standard deviation leads to a flatter curve.

c) The area under the curve represents probability and so totals to 1.

19) Which of the following is not true of the normal distribution?

 a) the measures of central tendency(mean, mode, and median)are equal in value

b) the curve approaches the x-axis gradually on either side of the mean

c) the curve is bell-shaped

d) the curve is a symmetrical

20) Continuity correction is used in which of the following?

a) Hyper geometric distribution

b) Normal distribution

c) Poisson

d) Binomial

21) Which of the following is not expected to be normally distributed

a) Height of men with age 20 years

b) Age of students in a class

c) Age of entire population in country

d) Both b and c

22) Binomial distribution does not carry the characteristics

a) trails are dependent

c)Probability will remain same in all trails

b) fixed number of trails

d)probability can be distributed in success or failure

23) In which distribution the probability of success remains constant from trial to trial

a) Hyper geometric distribution

b) Binomial distribution

c) Poision distribution

d) All of these
24) In a binomial distribution

a) Mean=Variance

b) Mean<Variance

c) Mean>Variance
 d) None

25) Which of the following statement is correct?

a) If a distribution is skewed it means it is a symmetrical about the mean

b) If the peak the middle of the histogram and the frequencies either side are similar to each other the
distribution is said to be a symmetrical

c) The area under the normal curve represents mean

d) All normal curves are a symmetrical about the mean and are bell shaped

26) Which of the following statements as regards to Normal distribution is/are correct?
I)Both tails of the distribution approach and meet the horizontal axis at a finite but high value

ii) Higher standard deviation leads to a flatter curve

a) Both statements are correct

b) Both statements are not correct

c) Only statement(i) is correct

d) Only statement(ii) is correct

27) Which of the following statements as regards to Normal distribution is/are correct?

i) Both tails of the distribution approach and meet the horizontal axis at a finite but high value

ii) Lower standard deviation leads to a flatter curve

a) Both statements are correct

b) Both statements are not correct

c) Only statement(i) is correct

d) Only statement(ii) is correct

28) Which of the following is the property of bell-shaped distribution?

a) mean=median=mode

b) Uni modal

c) Symmetrical/Asymptotic

d) All of these

29) In a consignment of 25 auto-batteries, 3 are defective .If a random sample of 5 batteries is selected, then
probability of having exactly 2 defective batteries in the sample is:
a)5.3% b)3.5% c)12% d)8.7%

30) A wallet contains sixty-five Rs.1000 and thirty-five Rs.500 currency notes. If four notes are drawn from the
wallet at random with replacement, find the probability that total amount drawn would exactly be equal to
Rs.3000 is:

a)31.05% b)35.00% c)50.00% d)65.00%

31) Three dices rolled together. The probability of rolling a 3 on at least one of three dices is

a)0.3333 b)0.3472 c)0.4212 d)0.5787

32) When coin is rolled three times find the probability that exactly one head will appear
a)0.375 b)0.625 c)0.357 d)0.875

33) If a dice is rolled 5 times then probability of appearing 3 at least one time is?
a)0.598 b)0.402 c)0.612 d)0.388

34) A dice is rolled 5 times. What is the probability that exactly 2 "fours" appear?
d)0.1728
a)0.1525 b)0.1608 c)0.1408

35) You are given 7 true false questions and required to find the probability of at least will be correct?

a)0.992 b)0,008 c)0.9375 d)0.0625

36) You are given 10 true false questions and required to find the probability of at least4 correct

a)0.7825 b)0.8281 c)0.9987 d)0.6898

37) An unprepared students go for test. There are10 true false questions in test. Find the probability that at
least1 is correct.

a)0.9990 b)0.99 c)0.9 d)1.0

38) An unprepared students go for test. There are 10 questions MCQs having 4 options in test. Find the
probability that at least 1 is correct

a)0.9437 b)0.3257 c)0.6925 d)0.5250

39) In a test there are 20 questions All questions are MCQs with 4 choices. A person does not know any of
the question correctly and is selecting options haphazardly. Find the probability that exactly 4 are correct

a)19.86% b)15.85% c)18.96% d)12.12%

40) in one day, a department manufactures four products, each of which has an independent chance of 20%
being faulty The probability that at least three products are not faulty is

a)0.7128 b)0.8192 c)0.5120 d)0.6154

41) Fantastic Five Football Club(FFC) team loses 7% of its matches in every session. The probability that FFC
will lose exactly one of its next five matches is?

a)7% b)26.18% c)0.01% d)73.82%

42) A local news channel has conducted an opinion poll for constructing more dams in the country The poll
result indicates that 80% of the participating viewers support the idea, 10% are against the idea and 10%
are undecided.If a sample of 10 participating viewers is selected at random, the probability that at least 8
viewers will support the idea will be

a)0.2684 b)03020 c)0.3222 d)0.6778

43) On any given day, the probability that the entire family of Mr.Y eats dinner together is 2/5 Find the
probability that, during any 7-day period, family front has each dinner together at least six times

a)0.1255 b)0.0188 c)0.2185 d)0.2224

44) A Television Company Launch a new Channel after the ranking of their channel there is found that the 80%
of Viewer in Favor of this Channel and 10% of viewer against their Channel and10% are undecided. What
is the probability that at least eight of the viewers are in the favor of this Channel if random sample of10
people are selected from these?

a)0.6178 b)0.5778 c)0.6778 d)0.4678

45) In a bakery,3 cakes of fresh cream pineapple,4 cakes of chocolate,2 cakes of butter cream
strawberry and 1 cake without cream are available.If two customers purchase one cake each,such that
first cake is replaced before the sale of the second then,the probability that both the cakes sold would
be of chocolate flavor is

a)7/12 b)2/15 c)0.12 d)0.16

46) The helpline of an ISP receives an average of four calls in every five minutes during peak load hour.
Assuming an appropriate Poisson distribution, what is the probability that three or more calls will be
received during a period of ten minutes?

a)0.8488 b)0.9576 c)0.9862 d)0.0424

47) During peak hours a center receives 4 calls per30 minutes. What is the probability of getting 3 or more calls
in an hour.
a)0.9862 b)0.2968 c)0.8296
d)0.9826

48) Ahmad received 4 calls in five minutes on average. What is the probability that more than 3 calls will be
received in10minutes?

a)0.2365 b)0.2587 c)0.1525 d)0.95

49) FX food channel receives an average of six orders in every four minutes. Assuming an approximate Poisson
distribution that five or more orders will be received during a period of four minutes?
 a)0.2849 b)0.7151 c)0.4455 d)0.5545

50) A telephone operator receives on average 2 calls in 3 minutes.Find the probability of receiving more than or
equal to 4 calls in 9 minutes

a)0.2365 b)0.8488 c)0.1525 d)0.0268

51) Online booking system of food channel receives an average of two orders in every four minutes.Assuming
an approximate Poisson distribution that five or more orders will be received during a period of nine
minutes?

a)0.3712 b)0.4679 c)0.5321 d)0.3679

52) A normal distribution has mean 5.03 and standard deviation 0.03 then find the probability of
values between 5 to 5.06

a)0.5858 b)0.6826 c)0.6256 d)0.6101

53) In a normal distribution mean=5.05 and 5D=0.02 find the area between 5.00 and 5.06
a)0.4214 b)0.5258 c)0.6100 d)0.6853

54) The area under the normal curve between µ-3.50 and μ+1.00 is
a)0.3215 b)0.2518 c)0.7528 d)0.8411

55) In a Rice mill the bags of rice has mean weight of 5.05kg and standard deviation of
0.02kg. if a bag is selected at random then find the probability that its weight is below 5 kg?
a)0.62% b)0.72% c)0.82% d)0.52%

56) The weights of bags of rice packed on a machine are normally distributed with mean
5.15kg and standard deviation 0.05kg.If a bag is picked at random,find the probability that it weightless than 5 kg
is?
a)0.9987 b)0.5013 c)0.4987 d)0.0013

57) The weights of bags of rice have mean weight of 5.05kg and standard deviation of 0.025 kg.if a bag is picked at
random then find the probability that be: Nits weights between 5kg and 5.06 kg will

a)50.82% b)47.72% c)63.26% d)1.64%

58) The average life of a certain type of motor is 10 years,with a standard deviation of 2 years.If the
manufacturer is willing to replace only 3% of the motors that fail,how longa guarantee should he offer?
Assume that the lives of the motors follow a normal distribution.

a)5.24 years b)6.24 years c)7.62 years d)7.12 years

59) Normal distribution depends on:

1) Mean

2) Standard deviation
a) Only statement I is correct
b) Only statement 2 is correct

c) Both statements are correct

d) None of the above are correct

60) What is/are the parameter(s) of normal distribution?

a)Mean b)Standard deviation c)Both d)none

61) An IQ test is administered by a well-known testing center.The test has a mean scores of100 and standard
deviationof15. If Ali's z-score is-1.20,what was his score on the test?

a)82 b)100 c)112 d)118

62) A national achievement test is administered annually to 3rd graders.The test has a men score of100 and
standard deviation of15.If a particular students z-score is1.20 what was his score on the test?

a)118 b)87 c)92 d)82

63) The average number of traffic accidents on a certain section of highway is two per week.Assuming
that the number of accidents follow a poisson distribution.Find the probability of 3 accidents on this
section of highway during two-week period.

a)19.5% b)28.9% c)23.8% d)12.8%

64) If the sample mean of a data set is15 and the sample standard deviation is 9 what percent of the data
would you expect to fall between 6 and 24 assuming that distribution is fairly symmetric

a)81.5% b)68.3% c)95% d)99.73%

65) A sample of 4 different calculators is randomly selected from a group containing 57 calculators out of
which 36 are defective.The defective is:probability that all the selected calculators are d)0

a)0.1400 b)0.1491 c)0.0184

66) 8 people are selected at random from the committee.The probability that at least 5 men group of 10 men
and 11 woment of orma would be selected on the committee is 0.1401

a) True b) False

c) both d) none

67) If a student randomly guesses 20 multiple choice questions with four possible choices. The probability that
the student would get exactly four right answers is 46.23%.

a) True b) False

c) both d) none

68) Which TWO of the following statements as regards the Normal Distribution are not correct?

a) Area under the Curve represents probability and so totals to 1

 b) Lower standard deviation leads to Flatter curve

c) Both tails of the normal distribution curve always meet the horizontal axis.

d) It is described by its Mean and Standard deviation

69) The weights of bag of rice packed on a machine are normally distributed with mean
5.15kg and SD 0.05kg if a bag is picked at random probability that it weightless than 5kg

a)0.9987 b)0.5013

c)0.4987 d)0.0013

70) The weights of bags of rice packed on a machine are randomly distributed with mean
is 5.05 kg and standard deviation 0.02kg.if a bag is packed at random,the probability that it weighs between 5kg
and 5.06kg is:

a)47.72% b)68.53%

c)34.13% d)49.86%

71) The weights of bags of rice packed on a machine are randomly distributed with
mean= 5.05kg and standard deviation 0.02kg. if a bag is packed at random,the probability that it weighs less
than 5 kg is:
a)0.62% b)2.28%

c)2.5% d)49.38%

72) The weights of bags of rice packed on a machine are normally distributed with mean=
5.05kg and standard deviation 0.025kg.If a bag is picked at random,find the probability that it weighs less
than5.06kg is?

a)50.82% b)1.64%

c)65.54% d)47.72%

73) The weights of bags of rice packed on a machine are randomly distributed with mean
mean=5.05kg and standard deviation 0.025kg. if a bag is packed at random,the probability that it weighs between
5kg and 5.06kg is:

a)15.54% b)47.72%

c)63.26% d)0.2.28%

74) The weights of bags of rice packed on a machine are randomly distributed with
mean=5.05kg and standard deviation 0.025kg.if a bag is packed at random,the probability that it weighs less than
5kgs is:

a)15.54% b)47.72%

c)63.26% d)2.28%

75) If a dice is rolled 5 times,then probability of appearing 3 at least one time is?
a)0.598 b)0.402
c)0.612 d)0.388

76) Historical data shows that Star Football Club(SFC) team loses 9% of its matches in every session.The
Probability that SFC will lose exactly one of its next five matches is:

a) 04.50% b) 08.50%

c) 09.00% d) 30.86%

77) PABX system of Nadia Travels receives an average of two calls in every three minutes. Assuming poisson
distribution ,what is the probability that four or more calls will be received during a period of 9 minutes?

a) 0.1512 b) 0.6667

c) 0.2851 d) 0.8488
78) PABX system of Nadia Travels receives an average of two calls in every three minutes. Assuming poisson
distribution ,what is the probability that six or more calls will be received during a period of 9minutes?

a)0.4457 b)0.5543

c) 0.6063 d) d)0.8488

79) A box contains 2 white balls,3 black balls and 4 red balls.In how many ways balls be drawn from the box,
if at least one black ball is to be included in the draw:

a)32 b)48

c)64 d)96

80) Ahmed received on average 4 calls in 5 minutes.Find the probability of receiving more than 3 calls in 10
minutes:

a)0.0286 b)0.2682

c)0.2862 d)0.0862

81) During peak hours a center receives 4calls per 30 minutes.What is the probability of getting3 or more
calls in an hour?

a)0.9862 b)0.9682

c)0.8692 d)0.2689

82) Aconsignmentof12refurbishedCNGkitscontain4defectivekits.If5Kitsare
randomlychosenforinspection,whatistheprobabilitythatatleast3ofthemare defective?

a)1/11 b)2/33

c)5/33 d)None of these

83) A committee is to be made of 4 members from a total of 13 people of which 5 from Punjab, 2 from
Baluchistan ,4 from Sindh and 2 from KPK, what is the probability that committee contain none from
Punjab?

a)6.8% b)0.7%
c)9.8% d)None of these
84) Sadiq earned a total of 940 on a general knowledge test.The mean test score was 850 with a standard
deviation of 100.What proportion of students had a higher score than Sadiq?(assume that test scores are
normally distributed)

a)82% b)18%

c)10% d)32%