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This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the Expectation of a Hypergeometric Distribution such that the probability that a 4-trial hypergeometric experiment results in exactly 2 successes, when the population consists of 16 items. |
| A. | 1/2 |
| B. | 1/4 |
| C. | 1/8 |
| D. | 1/3 |
| Answer» B. 1/4 | |
| 2. |
Emma likes to play cards. She draws 5 cards from a pack of 52 cards. What is the probability of that from the 5 cards drawn Emma draws only 2 face cards? |
| A. | 0.0533 |
| B. | 0.0753 |
| C. | 0.0633 |
| D. | 0.6573 |
| Answer» B. 0.0753 | |
| 3. |
Hypergeometric Distribution is Continuous Probability Distribution. |
| A. | True |
| B. | False |
| Answer» C. | |
| 4. |
Find the Variance of a Hypergeometric Distribution such that the probability that a 6-trial hypergeometric experiment results in exactly 4 successes, when the population consists of 10 items. |
| A. | 14.4 |
| B. | 144 |
| C. | 1.44 |
| D. | 0.144 |
| Answer» D. 0.144 | |
| 5. |
Consider Nick draws 3 cards from a pack of 52 cards. What is the probability of getting no kings? |
| A. | 0.8762 |
| B. | 0.7826 |
| C. | 0.8726 |
| D. | 0.7862 |
| Answer» C. 0.8726 | |
| 6. |
The trials conducted in Hypergeometric distribution are done without replacement of the drawn samples. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 7. |
Suppose we draw 4 cards from a pack of 52 cards. What is the probability of getting exactly 3 aces? |
| A. | 0.9999 |
| B. | 0.9997 |
| C. | 0.0009 |
| D. | 0.0007 |
| Answer» E. | |
| 8. |
Find the Variance of a Hypergeometric Distribution such that the probability that a 3-trial hypergeometric experiment results in exactly 2 successes, when the population consists of 7 items. |
| A. | 0.6212 |
| B. | 0.6612 |
| C. | 0.6112 |
| D. | 0.6122 |
| Answer» E. | |
| 9. |
Hypergeometric probability of hypergeometric distribution function is given by the formula _________ |
| A. | h(x; N, n, k) = [kCx] [NCn-x] / [NCn] |
| B. | h(x; N, n, k) = [kCx] [N-kCn-x] / [NCn] |
| C. | h(x; N, n, k) = [kCx] [N-kCn] / [NCn] |
| D. | h(x; N, n, k) = [kCx] [N-kCn-x] / [N-kCn] |
| Answer» C. h(x; N, n, k) = [kCx] [N-kCn] / [NCn] | |
| 10. |
The Variance of hypergeometric distribution is given as __________ |
| A. | n * k * (N – k) * (N – 1) / [N2 * (N – 1)] |
| B. | n * k * (N – k) * (N – n) / [N2 * (N – k)] |
| C. | n * k * (N – 1) * (N – n) / [N2 * (N – 1)] |
| D. | n * k * (N – k) * (N – n) / [N2 * (N – 1)] |
| Answer» E. | |
| 11. |
Suppose we draw eight cards from a pack of 52 cards. What is the probability of getting less than three spades? |
| A. | 0.985 |
| B. | 0.785 |
| C. | 0.685 |
| D. | 0.585 |
| Answer» D. 0.585 | |
| 12. |
Consider selecting 6 cards from a pack of cards without replacement. What is the probability that 3 of the cards will be black? |
| A. | 0.332 |
| B. | 0.3240 |
| C. | 0.4320 |
| D. | 0.5430 |
| Answer» B. 0.3240 | |
| 13. |
The probability of success and failures in hypergeometric distribution is not fixed. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 14. |
The mean of hypergeometric distribution is _____________ |
| A. | n*k / N-1 |
| B. | n*k-1 / N |
| C. | n-1*k / N |
| D. | n*k / N |
| Answer» E. | |