# 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.

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.