Normal Probability Distribution Quiz 2

Master the Normal Probability Distribution Quiz with this 20-MCQ Test! Test your knowledge of key concepts like symmetry, standard deviation, skewness, kurtosis, and more. Perfect for students, learners, data analysts, and professionals preparing for exams, job tests, and interviews. Includes detailed answers & explanations to boost your understanding of probability distributions. Let us start with the Online Normal Probability Distribution Quiz now.

Online Normal Probability Distribution Quiz with Answers

Online Multiple Choice Questions about Normal Probability Distribution with Answers

1. Pearson’s constants for a normal distribution with mean $\mu$ and variance $\sigma^2$ are

 
 
 
 

2. The range of the standard normal distribution is

 
 
 
 

3. The lower and upper quartiles for a standardized normal variate are, respectively

 
 
 
 

4. If $Z\sim N(0, 1)$ the coefficient of variation is equal to

 
 
 
 

5. If $Z\sim N(0,1)$ then $\beta_2$ is equal to

 
 
 
 

6. If $Z\sim N(0, 1)$ then $\mu_4$ is equal to

 
 
 
 

7. The value of the ordinate at points of infection of the normal curve is equal to

 
 
 
 

8. The skewness and kurtosis of the normal distribution are, respectively

 
 
 
 

9. In the normal distribution, the value of the maximum ordinate is equal to

 
 
 
 

10. If $X$ is a normal random variable having mean $\mu$ then $E|X-\mu|$ is equal to

 
 
 
 

11. The normal probability density function curve is symmetrical about the mean $\mu$, that is, the area to the right of the mean is the same as the area to the left of the mean. This means that $P(X<\mu)=P(X>\mu)$ is equal t:

 
 
 
 

12. In a normal curve $\mu \pm 0.6745\sigma$ covers

 
 
 
 

13. The value of the second moment about the mean in a normal distribution is 5. The fourth moment about the mean in the distribution is

 
 
 
 

14. The value of the maximum ordinate in the standard normal distribution is equal to

 
 
 
 

15. The points of inflection of the standard normal distribution lie at

 
 
 
 

16. Which of the following is possible in a normal distribution?

 
 
 
 

17. The maximum ordinate of a normal curve is at

 
 
 
 

18. If $X$ is a normal random variable having mean $\mu$ then $E(X-\mu)^2$ is equal to

 
 
 
 

19. The value of the standard deviation $\sigma$ of a normal distribution is always

 
 
 
 

20. If $X\sim N(100, 64)$ then standard deviation $\sigma$ is

 
 
 
 


Online Normal Probability Distribution Quiz with Answers

  • The normal probability density function curve is symmetrical about the mean $\mu$, that is, the area to the right of the mean is the same as the area to the left of the mean. This means that $P(X<\mu)=P(X>\mu)$ is equal t:
  • The skewness and kurtosis of the normal distribution are, respectively
  • In a normal curve $\mu \pm 0.6745\sigma$ covers
  • The lower and upper quartiles for a standardized normal variate are, respectively
  • The maximum ordinate of a normal curve is at
  • The value of the standard deviation $\sigma$ of a normal distribution is always
  • If $X\sim N(100, 64)$ then standard deviation $\sigma$ is
  • If $Z\sim N(0, 1)$ the coefficient of variation is equal to
  • The points of inflection of the standard normal distribution lie at
  • If $Z\sim N(0, 1)$ then $\mu_4$ is equal to
  • The value of the second moment about the mean in a normal distribution is 5. The fourth moment about the mean in the distribution is
  • If $X$ is a normal random variable having mean $\mu$ then $E|X-\mu|$ is equal to
  • If $X$ is a normal random variable having mean $\mu$ then $E(X-\mu)^2$ is equal to
  • Which of the following is possible in a normal distribution?
  • The range of the standard normal distribution is
  • In the normal distribution, the value of the maximum ordinate is equal to
  • The value of the ordinate at points of infection of the normal curve is equal to
  • If $Z\sim N(0,1)$ then $\beta_2$ is equal to
  • Pearson’s constants for a normal distribution with mean $\mu$ and variance $\sigma^2$ are
  • The value of the maximum ordinate in the standard normal distribution is equal to

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