Important MCQs Probability Distributions 4

This Quiz MCQs Probability Distributions for Random Variable covers the Mean and Variance of random variables and the distribution of Random variables. MCQs Probability Distributions quiz requires knowledge of events, experiments, mutually exclusive events, collectively exhaustive events, sure events, impossible events, addition and multiplication laws of probability, concepts related to discrete and continuous random variables, probability distribution and probability density functions, characteristics and properties of probability distributions, discrete probability distribution, continuous probability distributions, etc.

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

 
 
 
 

2. The distribution possessing the memoryless property is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

5. In binomial distribution, the formula for calculating the mean is

 

 
 
 
 

6. In binomial probability distribution, dependents of standard deviations must include

 
 
 
 

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

 
 
 
 

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

 
 
 
 

9. The shape of geometric distribution is

 
 
 
 

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

 
 
 
 

11. The formula to calculate standardized normal random variables is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. The distribution of sample correlation is

 
 
 
 

15. The probability of failure in binomial distribution is denoted by

 
 
 
 

16. The mean of a binomial probability distribution is 857.6 and the probability is 64% then the number of values of binomial distribution

 
 
 
 

17. Events having an equal chance of occurrence are called

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 


MCQs Probability Distributions

MCQs Probability Distributions

  • A family of parametric distribution in which the mean always greater than its variance is:
  • The family of parametric distributions which has a mean always less than variance is:
  • The family of parametric distributions for which moment generating function does not exist is:
  • The distribution for which the mode does not exist is:
  • The relation between the mean and variance of $\chi^2$ with $n$ degrees of freedom is
  • The $F$-distribution curve with respect to tails is:
  • If $X$ has a binomial distribution with parameter $p$ and $n$ then $\frac{X}{n}$ has the variance:
  • The binomial distribution is symmetrical if $p=p=?$
  • The shape of the Geometric distribution is
  • If $X\sim N(\mu, \sigma^2)$ and $a$ and $b$ are real numbers, then mean of $(aX+b)$ is
  • The distribution of sample correlation is
  • Events having an equal chance of occurrence are called
  • Studnet’s $t$-distribution curve is symmetrical about the mean, it means that
  • The distribution possessing the memoryless property is
  • The chi-square distribution is used for the test of
  • The probability of failure in binomial distribution is denoted by
  • In binomial distribution, the formula for calculating the mean is  
  • In binomial probability distribution, dependents of standard deviations must include
  • The formula to calculate standardized normal random variables is
  • The mean of a binomial probability distribution is 857.6 and the probability is 64% then the number of values of binomial distribution

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2 thoughts on “Important MCQs Probability Distributions 4”

    • Thank you dear! for mentioning the error in quiz. More explanation is added to the question.
      If you find any other possible error in quiz or posts of itfeature.com, do let me know.

      The mean of a chi-square distribution is equal to its degrees of freedom ($k$) and the variance is $2k$.

      It means that if Mean $=k=2$ then variance $= 2 times 2 = 4$

      Therefore, $2, Mean = 2times 2 = 4 = , Variance$

      Reply

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