binomial and hyper geometric probability Mcqs
51. if in a binomial probability distribution mean and variance are 6 and 2.4 respectively, then the parameters of this distribution are:____________________?
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A. n = 10, p = 3/5

B. n = 10, p = 6/10

C. n = 50, p = 6/50

D. n = 10, p = 2/5

52. Binomial distribution is used when ___________ is large?
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A. n

B. nq

C. p

D. nP

53. The mean of a binomial distribution is always:____________________?
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A. Less than variance

B. None of these

C. Greater than varince

D. Equal to variance

54. The variance of binomial distribution is always:________________?
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A. Equal to mean

B. None of these

C. Greater than mean

D. Equal to standard deviation

E. Less than mean
55. In binomial experiment, the successive trials are _____________?
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A. Related

B. constant

C. independent

D. Dependent

56. The probability of success changes from trial to trial in:___________________?
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A. Geometric distribution

B. Sampling distribution

C. Hypergeometrical distribution

D. Binomial distribution

57. Hypergeometric distribution has parameter:_____________________?
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A. No

B. 3

C. 1

D. 2

E. 4

58. The mean and variance of binomial distribution are ______________?
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A. Unequal

B. Equal

C. None

D. Symmetrical

59. The mean, median and mode for binomial distribution will be equal when:______________?
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A. None of these

B. p= 0.5

C. p = 1

D. P 0.5

60. A random variable X has binomial distribution with n = 10 and p = 0.3 then variance of X is:_____________________?
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A. 21

B. 12

C. 10

D. 2.1

E. None

61. Binomial distribution is negatively skewed when:__________________?
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A. p=0

B. p=1/3

C. p=1/2

D. p>1/2
62. If 5 dice are rolled 96 times then N. =___________?
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A. 96/5

B. 5

C. 96

D. May-96

63. Which of the following case is true for hyper geometric distribution________________?
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A. Probability remains constant for all the trials.

B. Probability changes from trial to trial

C. Successive trial are dependent

D. Both (b) & (c) but not (a)
64. Binomial word discovered at the end of ________________?
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A. 10th century

B. 12th century

C. 17th century

D. 14th century

65. In binomial distribution n=6 and p=0.9, then the value of______________?
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A. Zero

B. Less than zero

C. P(X=7) is

D. More than zero

E. One

66. The sum of p and q is always:___________________?
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A. 0

B. None of these

C. 2

D. 1
67. In a binomial distribution the probability of ___________ changes from trial to trial?
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A. Experiment

B. Out come

C. Success

D. Failure

68. If mean and variance are not equal then distribution ________________?
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A. None

B. Equal

C. Skewed

D. Symmetrical

69. (q + p) has variance is ______________?
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A. 3 pq

B. 6 pq

C. npq

D. 7 pq
70. The binomial distribution is symmetrical when:______________?
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A. P > q

B. P = 1/2

C. Probability of success & probability of failure are equal

D. Both (b) & (c) but not (a)
71. In binomial experiment, the experiment is repeated ______________?
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A. a large number times

B. n = 100

C. n; fixed number of times

D. n; where n < 0