Probability Distribution Quiz 8

The post is about the MCQs Probability Distributions Quiz. There are 20 multiple-choice questions about probability distributions covering distributions such as discrete and continuous Binomial Probability Distribution, Bernoulli Probability Distribution, Poisson Probability Distribution, Poisson Probability, Distribution, Geometric Probability Distribution, Hypergeometric Probability Distribution, Chi-Square distribution, Normal distribution, and F-distribution. Let us start with the MCQs Discrete Probability Distributions Quiz.

MCQs Probability Distribution Quiz

Probability Distribution Quiz with Answers

1. A test is administered annually. The test has a mean score of 150 and a standard deviation 20. If Chioma’s z-score is 1.50, what was her score on the test?

 
 
 
 

2. The distribution function of the random variable $X$ is given by $F_X(x)=1-\frac{1}{x^2}$ for $x \ge c$, 0 otherwise, where $c$ is a constant. What is the set of possible values of the constant $c$?

 
 
 
 

3. The moment generating function of normal distribution is

 
 
 
 

4. If $X$ is a F-distributed random variable with $m$ and $n$ df, then $W=\frac{mX/n}{1+mX/n}$ has a

 
 
 
 

5. If the mean of the Chi-Square distribution is 4 then its variance is

 
 
 
 

6. Expected values are properties of what?

 
 
 
 

7. The moment generating function of Gamma distribution with parameter $\lambda$ and $k$ is

 
 
 
 

8. When the experiment is repeated a variable number of times to obtain a fixed number of success is

 
 
 
 

9. We look for a model, as realistic as possible, for a continuous random variable $X$ that represents the lifetime of a machine, and whose mean and variance are equal to 1 and 3, respectively. Which of the following distributions can be acceptable?

  • Uniform
  • Exponential
  • Gamma
  • Gaussian
  • The square of a Gaussian N(1, 3)
 
 
 
 

10. The time X taken by a cashier in a grocery store express lane to complete a transaction follows a normal distribution with a mean of 90 seconds and a standard deviation of 20 seconds. What is the first quartile of the distribution of X (in seconds)?

 
 
 
 

11. In its standardized form, the normal distribution

 
 
 
 

12. If you got a 75 on a test in a class with a mean score of 85 and a standard deviation of 5, the z-score of your test score would be

 
 
 
 

13. The P-value for a normally distributed right-tailed test is P=0.042. Which of the following is INCORRECT?

 
 
 
 

14. You find a z-score of -1.99. Which statement(s) is/are true?

 
 
 
 

15. A random variable $Y$ has the following distribution
y:     -1   0   1    2
p(y):  3C 2C 0.4 0.1

The value of the constant C is

 
 
 
 

16. Green sea turtles have normally distributed weights, measured in kilograms, with a mean of 134.5 and a variance of 49.0. A particular green sea turtle’s weight has a z-score of -2.4. What is the weight of this green sea turtle? Round to the nearest whole number.

 
 
 
 

17. The number of parameters in multivariate normal distribution having $p$ variables are

 
 
 
 

18. Which of the following can best be described as a normal distribution?

 
 
 
 

19. If $Z$ has a standard normal distribution, if $U$ has a chi-square distribution with $k$ degrees of freedom and if $Z$ and $U$ are independent then the distribution of $X=\frac{Z}{\sqrt{\frac{U}{\sqrt{k}}}}$ is

 
 
 
 

20. The spread of the normal curve depends upon the value of:

 
 
 
 

Online Probability Distribution Quiz

  • You find a z-score of -1.99. Which statement(s) is/are true?
  • Expected values are properties of what?
  • If you got a 75 on a test in a class with a mean score of 85 and a standard deviation of 5, the z-score of your test score would be
  • The spread of the normal curve depends upon the value of:
  • Which of the following can best be described as a normal distribution?
  • In its standardized form, the normal distribution
  • A test is administered annually. The test has a mean score of 150 and a standard deviation 20. If Chioma’s z-score is 1.50, what was her score on the test?
  • The P-value for a normally distributed right-tailed test is P=0.042. Which of the following is INCORRECT?
  • The time X taken by a cashier in a grocery store express lane to complete a transaction follows a normal distribution with a mean of 90 seconds and a standard deviation of 20 seconds. What is the first quartile of the distribution of X (in seconds)?
  • Green sea turtles have normally distributed weights, measured in kilograms, with a mean of 134.5 and a variance of 49.0. A particular green sea turtle’s weight has a z-score of -2.4. What is the weight of this green sea turtle? Round to the nearest whole number.  
  • We look for a model, as realistic as possible, for a continuous random variable $X$ that represents the lifetime of a machine, and whose mean and variance are equal to 1 and 3, respectively. Which of the following distributions can be acceptable?
    Uniform
    Exponential
    Gamma
    Gaussian
  • The square of a Gaussian N(1, 3)
  • The distribution function of the random variable $X$ is given by $F_X(x)=1-\frac{1}{x^2}$ for $x \ge c$, 0 otherwise, where $c$ is a constant. What is the set of possible values of the constant $c$?
  • A random variable $Y$ has the following distribution y:     -1   0   1    2 p(y):  3C 2C 0.4 0.1 The value of the constant C is
  • If $Z$ has a standard normal distribution, if $U$ has a chi-square distribution with $k$ degrees of freedom and if $Z$ and $U$ are independent then the distribution of $X=\frac{Z}{\sqrt{\frac{U}{\sqrt{k}}}}$ is
  • If $X$ is a F-distributed random variable with $m$ and $n$ df, then $W=\frac{mX/n}{1+mX/n}$ has a
  • The number of parameters in multivariate normal distribution having $p$ variables are
  • The moment generating function of Gamma distribution with parameter $\lambda$ and $k$ is
  • The moment generating function of normal distribution is
  • When the experiment is repeated a variable number of times to obtain a fixed number of successes is
  • If the mean of the Chi-Square distribution is 4 then its variance is

MCQs General Knowledge

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