Best MCQs Random Variable Quiz 3

The post is about Random Variable Quiz. There are 20 multiple-choice questions covering topics related to the basics of random variables, types of random variables, dependent and independent random variables, distribution of random variables, and mean and variance of random variables. Let us start with MCQs Random Variable Quiz.

Online MCQs about Random Variables with Answers

1. If $X$ is a random varaible, then $Var(2-3X)$ is

 
 
 
 

2. If $X$ and $Y$ are independent then $Var(X-Y)$ is

 
 
 
 

3. A continuous random variable is a random variable that can

 
 
 
 

4. For a normal distribution, the $Z$ value for an $X$ value is to the right of the mean is always

 
 
 
 

5. If $X$ is a continuous random variable, then function $f(x)$ is

 
 
 
 

6. $Var(3X – 4Y)=$?

 
 
 
 

7. $Var(2X+5) =$ ?

 
 
 
 

8. If $X$ is a random variables, $a$ and $b$ are constants then $E(aX+b)$ is equal to

 
 
 
 

9. $Var(X/3)=$?

 
 
 
 

10. $Var(X+4)=$?

 
 
 
 

11. For a continuous random variable, the area under the probability distribution curve between any two points is always

 
 
 
 

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

 
 
 
 

13. If $Var(X) = 4$ then $Var(3X+5)$ is equal to

 
 
 
 

14. The distribution function $F(x)$ is equal to

 
 
 
 

15. If $X$ and $Y$ are independent random variables then $E(XY)$ is equal to

 
 
 
 

16. If $SD(X) = 3$ then $SD(X+4/6)$ is

 
 
 
 

17. For a continuous random variable $X$, the total probability of the mutually exclusive events (intervals) within which $X$ can assume a value is

 
 
 
 

18. The probability that a continuous random variable assumes a single value is

 
 
 
 

19. If $X$ follows t-distribution with $v$ degrees of freedom then the distribution of $x^2$ is

 
 
 
 

20. If $X$ and $Y$ are independent random variables then $VAR(X-Y)$ is equal to

 
 
 
 

MCQs Random Variable Quiz

MCQs Random Variable Quiz with Answers
  • If $X$ and $Y$ are independent random variables then $E(XY)$ is equal to
  • If $X$ and $Y$ are independent random variables then $VAR(X-Y)$ is equal to
  • If $X$ is a random variables, $a$ and $b$ are constants then $E(aX+b)$ is equal to
  • If $X$ is a random varaible, then $Var(2-3X)$ is
  • $Var(2X+5) =$ ?
  • $Var(X+4)=$?
  • $Var(X/3)=$?
  • If $Var(X) = 4$ then $Var(3X+5)$ is equal to
  • If $SD(X) = 3$ then $SD(X+4/6)$ is
  • If $X$ and $Y$ are independent then $Var(X-Y)$ is
  • $Var(3X – 4Y)=$?
  • A continuous random variable is a random variable that can
  • For a continuous random variable, the area under the probability distribution curve between any two points is always
  • The probability that a continuous random variable assumes a single value is
  • For a continuous random variable $X$, the total probability of the mutually exclusive events (intervals) within which $X$ can assume a value is
  • If $X\sim N(\mu, \sigma^2)$ where $a$ and $b$ are real numbers, then variance of $(aX+b)$ is
  • For a normal distribution, the $Z$ value for an $X$ value is to the right of the mean is always
  • If $X$ follows t-distribution with $v$ degrees of freedom then the distribution of $x^2$ is
  • The distribution function $F(x)$ is equal to
  • If $X$ is a continuous random variable, then function $f(x)$ is
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