Probability Distribution Quiz 9

Test your knowledge of probability distributions with this comprehensive Probability Distribution Quiz! Covering exponential, normal, gamma, binomial, and chi-square distributions, this quiz is perfect for students, researchers, statisticians, and data analysts preparing for exams or interviews. Practice key concepts like mean, variance, Z-scores, kurtosis, and distribution properties to strengthen your statistical skills. Let us start with the online Probability Distribution Quiz now.

Online Probability Distribution Quiz with Answers

Online Probability Distribution Quiz with Answers

1. If the mean of the exponential distribution is 2, then its variance is

 
 
 
 

2. If a random variable $Y$ is distributed as normal with mean 0 and variance equal to 1, then $Y^2$ will be distributed as

 
 
 
 

3. The mineral content of a particular brand of supplement pills is normally distributed, with a mean of 490 mg and a variance of 400. What is the probability that a randomly selected pill contains at least 500 mg of minerals?

 
 
 
 

4. What is the area under a conditional Cumulative Density Function?

 
 
 
 

5. If $X$ and $Y$ are two independently distributed standard normal variables, then $\frac{X^2}{Y^2}$ will be distributed as —————-.

 
 
 
 

6. The tails of the normal distribution

 
 
 
 

7. If the shape of the data is bell-shaped normal, which of the following statements must be true

 
 
 
 

8. Which of the following is not a characteristic of normal distribution?

 
 
 
 

9. If the shape of the data is leptokurtic, then it must be

 
 
 
 

10. If $X$ and $Y$ are two independently distributed standard normal variables, then $X^2+Y^2$ will be distributed as ————–.

 
 
 
 

11. If the mean of the exponential distribution is 2, then the sum of 10 such independent variates will follow a gamma distribution with variance

 
 
 
 

12. The sum of squares of a sequence of independent normal variates with mean $\mu$ and variance $\sigma^2$ is said to be

 
 
 
 

13. For a normal distribution, the mean is 40 and the standard deviation is 8. The value of $Z$ for $X=52$ is

 
 
 
 

14. If the mean of the exponential distribution is 2, then the sum of 10 such independent variates will follow a gamma distribution with mean

 
 
 
 

15. A variable whose mean is zero and variance is one is called

 
 
 
 

16. A flat peak symmetrical curve is called —————-.

 
 
 
 

17. Another name for the bell-shaped normal curve is ——————.

 
 
 
 

18. The total area under a normal distribution curve to the left of the mean is always

 
 
 
 

19. In a binomial distribution, if $p$, $q$, and $n$ are the  probability of success, failure, and number of trials, respectively, then the variance is given by

 
 
 
 

20. If the $Z$ (standard variable) score of a value is 1.5, it means the value is

 
 
 
 

Question 1 of 20

Online Probability Distribution Quiz with Answers

  • If the mean of the exponential distribution is 2, then its variance is
  • If the mean of the exponential distribution is 2, then the sum of 10 such independent variates will follow a gamma distribution with mean
  • If the mean of the exponential distribution is 2, then the sum of 10 such independent variates will follow a gamma distribution with variance
  • Which of the following is not a characteristic of a normal distribution?
  • The total area under a normal distribution curve to the left of the mean is always
  • The tails of the normal distribution
  • For a normal distribution, the mean is 40 and the standard deviation is 8. The value of $Z$ for $X=52$ is
  • What is the area under a conditional Cumulative Density Function?
  • The mineral content of a particular brand of supplement pills is normally distributed, with a mean of 490 mg and a variance of 400. What is the probability that a randomly selected pill contains at least 500 mg of minerals?
  • If the $Z$ (standard variable) score of a value is 1.5, it means the value is
  • If the shape of the data is leptokurtic, then it must be
  • A flat peak symmetrical curve is called —————-.
  • Another name for the bell-shaped normal curve is ——————.
  • A variable whose mean is zero and variance is one is called
  • If the shape of the data is bell-shaped normal, which of the following statements must be true
  • If a random variable $Y$ is distributed as normal with mean 0 and variance equal to 1, then $Y^2$ will be distributed as
  • If $X$ and $Y$ are two independently distributed standard normal variables, then $X^2+Y^2$ will be distributed as ————–.
  • If $X$ and $Y$ are two independently distributed standard normal variables, then $\frac{X^2}{Y^2}$ will be distributed as —————-.
  • The sum of squares of a sequence of independent normal variates with mean $\mu$ and variance $\sigma^2$ is said to be
  • In a binomial distribution, if $p$, $q$, and $n$ are the  probability of success, failure, and number of trials, respectively, then the variance is given by

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