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