MCQOPTIONS
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MCQOPTIONS
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. |
E(X) = μ and V(X) = σ2 is for which distribution? |
| A. | Bernoulli’s |
| B. | Binomial |
| C. | Poisson’s |
| D. | Normal |
| Answer» E. | |
| 2. |
E(X) = λ is for which distribution? |
| A. | Bernoulli’s |
| B. | Binomial |
| C. | Poisson’s |
| D. | Normal |
| Answer» D. Normal | |
| 3. |
E(X) = npq is for which distribution? |
| A. | Bernoulli’s |
| B. | Binomial |
| C. | Poisson’s |
| D. | Normal |
| Answer» C. Poisson’s | |
| 4. |
Find the Moment Generating Function of f(x) = x for 0 |
| A. | \((\frac{e^t-1}{t})^2 \) |
| B. | \((\frac{e^{-t}-1}{t})^2 \) |
| C. | \((\frac{e^{2t}-1}{t})^2 \) |
| D. | \((\frac{e^{2t}-1}{t^2}) \) |
| Answer» B. \((\frac{e^{-t}-1}{t})^2 \) | |
| 5. |
What is moment generating function? |
| A. | Mx(t) = E(etx) |
| B. | Mx(t) = E(e-tx) |
| C. | Mx(t) = E(e2tx) |
| D. | Mx(t) = E(et) |
| Answer» B. Mx(t) = E(e-tx) | |
| 6. |
Find the mean of a continuous random variable X if f(x) = 2e-x for x>0 and -ex for x |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 7. |
Find the mean of a random variable X if f(x) = x – 5⁄2 for 0 |
| A. | 3.5 |
| B. | 3.75 |
| C. | 2.5 |
| D. | 2.75 |
| Answer» C. 2.5 | |
| 8. |
Find the expectation of a random variable X if f(x) = ke-x for x>0 and 0 otherwise. |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 9. |
Find the expectation of a random variable X? |
| A. | 0.5 |
| B. | 1.5 |
| C. | 2.5 |
| D. | 3.5View Answer |
| Answer» C. 2.5 | |
| 10. |
Find the mean and variance of X? |
| A. | 2, 4/3 |
| B. | 3, 4/3 |
| C. | 2, 2/3 |
| D. | 3, 2/3View Answer |
| Answer» B. 3, 4/3 | |
| 11. |
Variance of a constant ‘a’ is _________ |
| A. | 0 |
| B. | a |
| C. | a/2 |
| D. | 1 |
| Answer» B. a | |
| 12. |
Mean of a constant ‘a’ is ___________ |
| A. | 0 |
| B. | a |
| C. | a/2 |
| D. | 1 |
| Answer» C. a/2 | |
| 13. |
Variance of a random variable X is given by _________ |
| A. | E(X) |
| B. | E(X2) |
| C. | E(X2) – (E(X))2 |
| D. | (E(X))2 |
| Answer» D. (E(X))2 | |
| 14. |
Mean of a random variable X is given by _________ |
| A. | E(X) |
| B. | E(X2) |
| C. | E(X2) – (E(X))2 |
| D. | (E(X))2 |
| Answer» B. E(X2) | |
| 15. |
The expectation of a random variable X(continuous or discrete) is given by _________ |
| A. | ∑xf(x), ∫xf(x) |
| B. | ∑x2 f(x), ∫x2 f(x) |
| C. | ∑f(x), ∫f(x) |
| D. | ∑xf(x2), ∫xf(x2) |
| E. | is given by _________a) ∑xf(x), ∫xf(x)b) ∑x2 f(x), ∫x2 f(x)c) ∑f(x), ∫f(x)d) ∑xf(x2), ∫xf(x2) |
| Answer» B. ∑x2 f(x), ∫x2 f(x) | |