# MCQs Probability Distributions 5

This Quiz MCQs Probability Random Variables covers topics about Mean and Variance of random variables, Distribution of Random variable. MCQs Probability Random variable quiz requires knowledge of event, experiment, mutually exclusive events, collectively exhaustive events, sure event, impossible events, addition and multiplication laws of probability, discrete probability distribution and continuous probability distributions, etc.

1. The distribution for which the mode does not exist is:

2. If $X$ has a binomial distribution with parameter $p$ and $n$ then $\frac{X}{n}$ has the variance:

3. The family of parametric distributions which has mean always less than variance is:

4. The distribution possessing the memoryless property is

5. The $F$-distribution curve in respect of tails is:

6. The distribution of sample correlation is

7. A family of parametric distribution in which mean always greater than its variance is:

8. The mode of the Geometric distribution is

9. The relation between the mean and variance of $\chi^2$ with $n$ degrees of freedom is

10. Events having an equal chance of occurrence are called

11. The binomial distribution is symmetrical if $p=p=?$

12. Studnet’s $t$-distribution curve is symmetrical about mean, it means that

13. If $X\sim N(\mu, \sigma^2)$ and $a$ and $b$ are real numbers, then mean of $(aX+b)$ is

14. The chi-square distribution is used for the test of

15. The family of parametric distributions for which moment generating function does not exist is: