# Random Variables

## MCQs Random Variables

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

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## MCQs Random Variables 4

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

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

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

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

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

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

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

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

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

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

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

12. A discrete variable is a variable than can assume

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

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

15. 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:

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

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.