Important MCQs Random Variable Quiz 3

This test contains MCQs about the Random Variable Quiz. Let us Start with the MCQs test for Random Variable Quiz.

Online MCQs about Random Variables with Answers

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

11. $Var(3X – 4Y)=$?

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 


A Random Variable (random quantity or stochastic variable) is a set of possible values from a random experiment.

MCQs Random Variable Quiz

  • 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

The domain of a random variable is called sample space. For example, in the case of a coin toss experiment, there are only two possible outcomes, namely heads or tails. A random variable can be either discrete or continuous. The discrete random variable takes only certain values such as 1, 2, 3, etc., and a continuous random variable can take any value within a range such as the height of persons.

MCQ Random Variable Quiz

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