MCQs Probability Distributions 4

This Quiz MCQs Probability Random Variable covers the Mean and Variance of random variables and the distribution of Random variables. MCQs Probability Random variable quiz requires knowledge of events, experiments, mutually exclusive events, collectively exhaustive events, sure events, impossible events, addition and multiplication laws of probability, discrete probability distribution and continuous probability distributions, etc.

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


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


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


4. Events having an equal chance of occurrence are called


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


6. The distribution of sample correlation is


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


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


9. The distribution possessing the memoryless property is


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


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


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


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


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


15. The mode of the Geometric distribution is


Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, Python, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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