MCQs Probability Distributions 4

This Quiz MCQs Probability Random Variable covers topics about the Mean and Variance of random variables, 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. The $F$-distribution curve in respect of tails is:

 
 
 
 

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

 
 
 
 

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

 
 
 
 

4. The mode of the Geometric distribution is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

11. The distribution of sample correlation is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. The distribution possessing the memoryless property is

 
 
 
 

15. Events having an equal chance of occurrence are called

 
 
 
 

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, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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