Online Random Variables MCQs 5

This quiz contains Random variables MCQs. The Online Random Variables MCQs are about Expectation, Variance, Distribution function, and independence of a random variable. Let us start with the Online Quiz about the Random Variables MCQs Test.

Online MCQs Random Variable with Answers

1. If $X$ is a random variable and $a$ and $b$ are constants, then $SD(a-bX)$ is

 
 
 
 

2. If $X$ is a random variable then $Var(2-3X)$ is

 
 
 
 

3. If $Var(X) = 8$ then $Var(X+3)= $

 
 
 
 

4. If $Var(X) = 2$ and $Var(Y) = 5$, and if $X$ and $Y$ are independent variables, then $Var(2X – Y)=$?

 
 
 
 

5. If $X_!, X_2, \cdots, X_n$ is the joint density of $n$ random variables, say $f(X_1, X_2, \cdots, X_n;\theta)$ which is considered to be a function of $\theta$. Then $L(\theta; X_1,X_2,\cdots,X_n)$ is called:

 
 
 
 

6. If $X$ and $Y$ are two independent variables then $E(XY)=$

 
 
 
 

7. If $a$ is constant then $Var(a)$ is

 
 
 
 

8. If $X$ is a random variable then $E(4X + 2)$ is

 
 
 
 

9. If $X$ and $Y$ are random variables then $E(X-Y)$ is

 
 
 
 

10. If $E(X) = 3$ then what will be $E(a+X)$, where $a$ is a constant whose value is 2

 
 
 
 

11. A discrete variable is a variable that can assume

 
 
 
 

12. If $X$ is a discrete random variable then the function $f(x)$ is

 
 
 
 

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

 
 
 
 

14. If $E(X) = 1.6$ then $E(5X+10) =$?

 
 
 
 

15. If $X$ and $Y$ are independent random variables then $Var(x-y)$ is

 
 
 
 

16. If $Var(X) = 5$ then $Var(2X + 5) $ =

 
 
 
 

17. $E(X-\mu)$ = ?

 
 
 

18. If $P(X=10) = \frac{1}{10}$, then $E(X)=$?

 
 
 
 

19. If $X$ and $Y$ are independent random variables then $SD(X-Y)$ will be

 
 
 
 

20. If $X$ and $Y$ are random variable then $E(X+y)$ is

 
 
 
 


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

Online Random Variables MCQs 5

Online Random Variables MCQs Test

  • $E(X-\mu)$ = ?
  • If $E(X) = 1.6$ then $E(5X+10) =$?
  • If $X$ is a random variable then $E(4X + 2)$ is
  • If $E(X) = 3$ then what will be $E(a+X)$, where $a$ is a constant whose value is 2
  • If $P(X=10) = \frac{1}{10}$, then $E(X)=$?
  • If $X$ and $Y$ are random variables then $E(X-Y)$ is
  • If $X$ and $Y$ are two independent variables then $E(XY)=$
  • If $X$ and $Y$ are independent random variables then $SD(X-Y)$ will be
  • If $X$ is a random variable and $a$ and $b$ are constants, then $SD(a-bX)$ is
  • If $a$ is constant then $Var(a)$ is
  • If $Var(X) = 8$ then $Var(X+3)= $
  • If $Var(X) = 5$ then $Var(2X + 5) $ =
  • If $Var(X) = 2$ and $Var(Y) = 5$, and if $X$ and $Y$ are independent variables, then $Var(2X – Y)=$?
  • If $X_1, X_2, \cdots, X_n$ is the joint density of $n$ random variables, say $f(X_1, X_2, \cdots, X_n;\theta)$ which is considered to be a function of $\theta$. Then $L(\theta; X_1,X_2,\cdots,X_n)$ is called:
  • A discrete variable is a variable that can assume
  • If $X$ is a discrete random variable then the function $f(x)$ is
  • If $X$ and $Y$ are random variable then $E(X+y)$ is
  • If $X$ and $Y$ are independent random variables then $E(XY)$ is
  • If $X$ and $Y$ are independent random variables then $Var(x-y)$ is
  • If $X$ is a random variable then $Var(2-3X)$ is
Online Random Variables MCQs Quiz

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.

Learn about Pseudo-Random Numbers

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