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binomial and hyper geometric probability MCQs

Practise focused binomial and hyper geometric probability questions with marked answers for exam preparation and subject revision.

binomial and hyper geometric probability Mcqs
1. Binomial distribution is symmetrical when:_________________?
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A. p > q

B. np > npq

C. p > q

D. p = q
2. Variance of binomial distribution is always:______________?
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A. Greater than mean

B. Less than mean

C. Less than equal to mean

D. Equal to mean

3. The mean of hypergeometric distribution is:___________________?
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A. N-k/n

B. Nk/N

C. nN/k

D. n+k/N

4. If in a binomial distribution n = 1 then E(X) is:____________________?
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A. 1

B. 0

C. p

D. q

5. In binomial distribution the probability of success remains __________ from trial to trial?
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A. Four

B. Constant

C. Varies

D. Probability

6. In which distribution successive trials are without replacement:____________________?
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A. Hypergeometric distribution

B. Geometric distribution

C. Poisson distribution

D. Binomial distribution

7. The hypergeometric probability distribution is used rather than the binomial or Poisson when the sampling is performed ?
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A. With out replacement from a finite population

B. With replacement

C. With replacement from a finite population

D. With out replacement from an infinite population

8. When X denotes the number of success in binomial experiment, it is called ________________?
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A. Random variable

B. Binomial random variable

C. Continuous random variable

D. Both (b) and (c) but not (a)

9. Binomial probability distribution is denoted by b(x ; n, p), is defined as _______________?
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A. {nx}px(1 P)x-n

B. nCxpnqnx

C. {nx}px qn-x

D. {nx}p(1 P)x

10. For a binomial distribution?
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A. p must be a multiple of 10

B. None of these

C. There must be at least 3 possible outcomes

D. n must assume a number between 1 and 20 or 25

11. If mean of the binomial probability distribution is 4.8, then variance of this distribution is :_______________?
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A. 5.3

B. -2.3

C. -4.8

D. 2.3
12. Which of the following is not the property of binomial distribution ?
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A. n is fixed

B. Has two outcomes

C. Trials are independent

D. Probability of success varies from trial to trial
13. In binomial experiment successive trials are ______________?
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A. May be inependent or dependent

B. Dependent

C. Independent

D. None of these

14. Binomial distribution is positively skewed when ______________?
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A. p > q

B. P/q

C. P = q

D. p < q
15. Binomial distribution is symmetrical when P=_________________?
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A. q

B. 1

C. 2q

D. 1/q

16. If a Binomial experiment is repeated N times then binomial frequency distribution is. _______________?
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A. N.{n/x}px qn-x

B. N p q

C. N.{nx}px qn-x

D. N.{n/x}p qn-x

17. Binomial distribution is used when n is ____________________?
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A. Small

B. Normal

C. Large

D. Zero

18. In a binomial distribution mean and variance is ________________?
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A. Mean < variance

B. Variance > mean

C. None of these

D. Variance ? mean

19. Mean of the binomial distribution is ______________?
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A. nP

B. Pq

C. xm

D. Non of these

20. A binomial random variable can assume values from _________ to n?
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A. 0

B. 3

C. 6

D. 2

21. If p= 0.1 and n = 400 then mean _______________?
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A. 40

B. 20

C. 30

D. 60

22. Each trial in Binomial distribution has:_________________?
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A. Two Outcome

B. One Outcome

C. Three Outcome

D. Four Outcome

23. If in binomial distribution p ? q, the distribution is:___________________?
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A. May be positive skewed or negative skewed.

B. Positively skewed

C. Negative skewed

D. None of these

24. Binomial distribution ranges from _______________?
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A. 0 to n

B. 0 to ?

C. 1 to ?

D. 1 to n

25. The successive trials are with replacement in:________________?
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A. Binomial distribution

B. None of these

C. Geometric distribution

D. Hpergeometric distribution

26. In binomial distribution with ________ trials mean is np and variance is npq?
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A. Independent

B. Linear

C. Equal

D. Dependent

27. In a binomial distribution, n = 10 p= 3/5, its mean is:_________________?
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A. None of these

B. 1

C. 5-Feb

D. 6
28. The experiment is repeated a _____________ number of times?
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A. Expansion

B. Trial

C. Fixed

D. Times

29. In hypergeometric distribution, the trial are:_______________?
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A. Independent

B. Collectively Exhaustive

C. Dependent

D. None

30. What is the mean of binomial distribution ____________?
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A. X

B. n(1 1)

C. n x p

D. ?fx/?f

31. For a binomial distribution with n = 15 as p changes from. 50 toward. 05 the distribution will__________?
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A. Become more positively skewed

B. Become more negatively skewed

C. Become symmetrical

D. All of the above.

32. Successive trials in binomial distribution are:__________________?
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A. Independent

B. Non

C. Mutually exclusive

D. Equally Likely

E. Dependent

33. When n becomes very large, binomial distribution tends to ______________?
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A. Standard dist

B. Poisson dist

C. Hyper-geometric distribution

D. Normal dist
34. What is the variance of binomial distribution __________________?
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A. np/q

B. nq/p

C. np (1 p)

D. n p

35. The binomial distribution is positively skewed when:________________?
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A. p > q

B. p < q

C. p = q

D. both (a) and (b

36. In the binomial experiment, the outcomes of each trial maybe classified into ______________?
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A. Success

B. Failure

C. None of these

D. Success or Failure
37. In a binomial probability distribution it is impossible to find______________?
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A. P(X < 0)

B. p(0 ? X? n)

C. P(X > 0)

D. P(X = 0)

38. Binomial distribution has parameters:______________?
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A. Two

B. Three

C. Four

D. None

E. One

39. If _________ then the distribution is positively skewed?
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A. p < q

B. p > 1/2

C. p > q

D. q/p

40. There are ____________ parameter in Binomial distribution?
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A. n, q

B. q, p

C. n, p, q

D. n, p
41. In a binomial distribution, n = 20 and p = 3/5, then variance of this distribution ______________?
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A. 60

B. 12

C. 4.8

D. 0

42. Binomial distribution is symmetrical when P=___________________?
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A. n

B. q

C. 1 P

D. x

43. Which of the following is not a requirement for binomial distribution ?
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A. A fixed number of trials

B. Only two possible outcomes

C. Constant Probability of Success

D. Equally likely outcomes
44. The mean of binomial distribution is:__________________?
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A. ?np

B. np

C. ?npq

D. nq?

E. npq

45. In a binomial distribution mean and variance is _________________?
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A. None of these

B. Variance ? mean

C. Variance > mean

D. Mean < variance
46. In binomial experiment, the probability of success is denoted by __________________?
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A. P

B. 1 -P

C. q

D. P
47. Binomial distribution has _______ parameter?
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A. 6

B. 3

C. 4

D. 2
48. The mean and the variance are equal in________________?
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A. The hypergeometric distribution

B. The binomial distribution

C. The Poisson distribution

D. All probability distribution

49. Which of the following is not a condition of the binomial distribution ?
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A. Have constant probability

B. Trials must be independent

C. Only 2 possible outcomes

D. Must have at least 3 trials
50. If u = 5 and S.D. = 2.5 then Binomial distribution are ________________?
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A. Fair

B. Unequal

C. None of these

D. Wrong