MCQOPTIONS
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MCQOPTIONS
This section includes 69 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following is not the property of binomial distribution ? |
| A. | n is fixed |
| B. | Has two outcomes |
| C. | Trials are independent |
| D. | Probability of success varies from trial to trial |
| Answer» E. | |
| 2. |
Which of the following is not a requirement for binomial distribution ? |
| A. | Constant Probability of Success |
| B. | Only two possible outcomes |
| C. | A fixed number of trials |
| D. | Equally likely outcomes |
| Answer» E. | |
| 3. |
Which of the following is not a condition of the binomial distribution ? |
| A. | Only 2 possible outcomes |
| B. | Have constant probability |
| C. | Must have at least 3 trials |
| D. | Trials must be independent |
| Answer» D. Trials must be independent | |
| 4. |
Which of the following case is true for hyper geometric distribution________________? |
| 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) |
| Answer» E. | |
| 5. |
When X denotes the number of success in binomial experiment, it is called ________________? |
| A. | Random variable |
| B. | Binomial random variable |
| C. | Continuous random variable |
| D. | Both (b) and (c) but not (a) |
| Answer» C. Continuous random variable | |
| 6. |
When ‘n’ becomes very large, binomial distribution tends to ______________? |
| A. | Poisson dist |
| B. | Standard dist |
| C. | Normal dist |
| D. | Hyper-geometric distribution |
| Answer» D. Hyper-geometric distribution | |
| 7. |
What is the variance of binomial distribution __________________? |
| A. | n p |
| B. | np (1 – p) |
| C. | np/q |
| D. | nq/p |
| Answer» C. np/q | |
| 8. |
What is the mean of binomial distribution ____________? |
| A. | X |
| B. | n x p |
| C. | n(1 – 1) |
| D. | ∑fx/∑f |
| Answer» C. n(1 – 1) | |
| 9. |
Variance of binomial distribution is always:______________? |
| A. | Less than mean |
| B. | Greater than mean |
| C. | Equal to mean |
| D. | Less than equal to mean |
| Answer» B. Greater than mean | |
| 10. |
There are ____________ parameter in Binomial distribution? |
| A. | n, q |
| B. | n, p, q |
| C. | q, p |
| D. | n, p |
| Answer» E. | |
| 11. |
The variance of binomial distribution is always:________________? |
| A. | Less than mean |
| B. | Equal to mean |
| C. | Greater than mean |
| D. | Equal to standard deviation |
| E. | None of these |
| Answer» B. Equal to mean | |
| 12. |
The sum of p and q is always:___________________? |
| A. | 0 |
| B. | 2 |
| C. | 1 |
| D. | None of these |
| Answer» D. None of these | |
| 13. |
The successive trials are with replacement in:________________? |
| A. | Hpergeometric distribution |
| B. | Binomial distribution |
| C. | Geometric distribution |
| D. | None of these |
| Answer» C. Geometric distribution | |
| 14. |
The probability of success changes from trial to trial in:___________________? |
| A. | Binomial distribution |
| B. | Geometric distribution |
| C. | Sampling distribution |
| D. | Hypergeometrical distribution |
| Answer» E. | |
| 15. |
The mean of hypergeometric distribution is:___________________? |
| A. | Nk/N |
| B. | N-k/n |
| C. | nN/k |
| D. | n+k/N |
| Answer» B. N-k/n | |
| 16. |
The mean of binomial distribution is:__________________? |
| A. | npq |
| B. | np |
| C. | √npq |
| D. | √np |
| E. | nq—√ |
| Answer» C. √npq | |
| 17. |
The mean of a binomial distribution is always:____________________? |
| A. | Equal to variance |
| B. | Less than variance |
| C. | Greater than varince |
| D. | None of these |
| Answer» D. None of these | |
| 18. |
The mean, median and mode for binomial distribution will be equal when:______________? |
| A. | p= 0.5 |
| B. | P 0.5 |
| C. | p = 1 |
| D. | None of these |
| Answer» B. P 0.5 | |
| 19. |
The mean and variance of binomial distribution are ______________? |
| A. | Unequal |
| B. | Equal |
| C. | Symmetrical |
| D. | None |
| Answer» C. Symmetrical | |
| 20. |
The mean and the variance are equal in________________? |
| A. | All probability distribution |
| B. | The hypergeometric distribution |
| C. | The binomial distribution |
| D. | The Poisson distribution |
| Answer» E. | |
| 21. |
The hypergeometric probability distribution is used rather than the binomial or Poisson when the sampling is performed ? |
| A. | With replacement |
| B. | With out replacement from an infinite population |
| C. | With out replacement from a finite population |
| D. | With replacement from a finite population |
| Answer» D. With replacement from a finite population | |
| 22. |
The experiment is repeated a _____________ number of times? |
| A. | Times |
| B. | Fixed |
| C. | Expansion |
| D. | Trial |
| Answer» C. Expansion | |
| 23. |
The binomial distribution is positively skewed when:________________? |
| A. | p > q |
| B. | p < q |
| C. | p = q |
| D. | both (a) and (b |
| Answer» C. p = q | |
| 24. |
The binomial distribution is symmetrical when:______________? |
| A. | P > q |
| B. | P = 1/2 |
| C. | Probability of success & probability of failure are equal |
| D. | Both (b) & (c) but not (a) |
| Answer» E. | |
| 25. |
(q + p) has variance is ______________? |
| A. | 6 pq |
| B. | npq |
| C. | 7 pq |
| D. | 3 pq |
| Answer» D. 3 pq | |
| 26. |
Mean of the binomial distribution is ______________? |
| A. | Pq |
| B. | nP |
| C. | xm |
| D. | Non of these |
| Answer» C. xm | |
| 27. |
In which distribution successive trials are without replacement:____________________? |
| A. | Hypergeometric distribution |
| B. | Binomial distribution |
| C. | Poisson distribution |
| D. | Geometric distribution |
| Answer» B. Binomial distribution | |
| 28. |
In the binomial experiment, the outcomes of each trial maybe classified into ______________? |
| A. | Success |
| B. | Failure |
| C. | Success or Failure |
| D. | None of these |
| Answer» D. None of these | |
| 29. |
In hypergeometric distribution, the trial are:_______________? |
| A. | Independent |
| B. | Dependent |
| C. | Collectively Exhaustive |
| D. | None |
| Answer» C. Collectively Exhaustive | |
| 30. |
In binomial experiment, the successive trials are _____________? |
| A. | Dependent |
| B. | independent |
| C. | Related |
| D. | constant |
| Answer» C. Related | |
| 31. |
In binomial experiment, the probability of success is denoted by __________________? |
| A. | P |
| B. | q |
| C. | 1 - q |
| D. | 1 -P |
| Answer» B. q | |
| 32. |
In binomial experiment successive trials are ______________? |
| A. | Dependent |
| B. | Independent |
| C. | May be inependent or dependent |
| D. | None of these |
| Answer» C. May be inependent or dependent | |
| 33. |
In binomial experiment, the experiment is repeated ______________? |
| A. | n; fixed number of times |
| B. | a large number times |
| C. | n; where n < 0 |
| D. | n = 100 |
| Answer» B. a large number times | |
| 34. |
In binomial distribution with ________ trials mean is np and variance is npq? |
| A. | Dependent |
| B. | Independent |
| C. | Linear |
| D. | Equal |
| Answer» C. Linear | |
| 35. |
In binomial distribution n=6 and p=0.9, then the value of______________? |
| A. | P(X=7) is |
| B. | One |
| C. | Less than zero |
| D. | Zero |
| E. | More than zero |
| Answer» D. Zero | |
| 36. |
In binomial distribution the probability of success remains __________ from trial to trial? |
| A. | Constant |
| B. | Varies |
| C. | Four |
| D. | Probability |
| Answer» B. Varies | |
| 37. |
In a binomial probability distribution it is impossible to find______________? |
| A. | P(X < 0) |
| B. | P(X = 0) |
| C. | P(X > 0) |
| D. | p(0 ≤ X≤ n) |
| Answer» B. P(X = 0) | |
| 38. |
In a binomial distribution the probability of ___________ changes from trial to trial? |
| A. | Failure |
| B. | Experiment |
| C. | Success |
| D. | Out come |
| Answer» D. Out come | |
| 39. |
In a binomial distribution, n = 10 p= 3/5, its mean is:_________________? |
| A. | 6 |
| B. | 1 |
| C. | 2/5 |
| D. | None of these |
| Answer» B. 1 | |
| 40. |
In a binomial distribution mean and variance is _________________? |
| A. | Variance > mean |
| B. | Mean < variance |
| C. | Variance ≠ mean |
| D. | None of these |
| Answer» C. Variance ≠ mean | |
| 41. |
In a binomial distribution, n = 20 and p = 3/5, then variance of this distribution ______________? |
| A. | 60 |
| B. | 12 |
| C. | 4.8 |
| D. | 0 |
| Answer» D. 0 | |
| 42. |
In a binomial distribution mean and variance is ________________? |
| A. | Variance > mean |
| B. | Mean < variance |
| C. | Variance ≠ mean |
| D. | None of these |
| Answer» C. Variance ≠ mean | |
| 43. |
If u = 5 and S.D. = 2.5 then Binomial distribution are ________________? |
| A. | Unequal |
| B. | Wrong |
| C. | Fair |
| D. | None of these |
| Answer» C. Fair | |
| 44. |
If _________ then the distribution is positively skewed? |
| A. | p < q |
| B. | q/p |
| C. | p > q |
| D. | p > 1/2 |
| Answer» B. q/p | |
| 45. |
If p= 0.1 and n = 400 then mean _______________? |
| A. | 60 |
| B. | 30 |
| C. | 20 |
| D. | 40 |
| Answer» E. | |
| 46. |
If mean of the binomial probability distribution is 4.8, then variance of this distribution is :_______________? |
| A. | -2.3 |
| B. | 5.3 |
| C. | -4.8 |
| D. | 2.3 |
| Answer» E. | |
| 47. |
If mean and variance are not equal then distribution ________________? |
| A. | None |
| B. | Symmetrical |
| C. | Skewed |
| D. | Equal |
| Answer» D. Equal | |
| 48. |
If in binomial distribution p ≠ q, the distribution is:___________________? |
| A. | Positively skewed |
| B. | Negative skewed |
| C. | May be positive skewed or negative skewed. |
| D. | None of these |
| Answer» D. None of these | |
| 49. |
if in a binomial probability distribution mean and variance are 6 and 2.4 respectively, then the parameters of this distribution are:____________________? |
| A. | n = 10, p = 6/10 |
| B. | n = 50, p = 6/50 |
| C. | n = 10, p = 3/5 |
| D. | n = 10, p = 2/5 |
| Answer» D. n = 10, p = 2/5 | |
| 50. |
If in a binomial distribution n = 1 then E(X) is:____________________? |
| A. | q |
| B. | p |
| C. | 0 |
| D. | 1 |
| Answer» C. 0 | |