MCQs Random Variables 4

This quiz contains MCQs about Random variables. Let us start with the Online Quiz about Random Variables.

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


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


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


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


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


6. 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:


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


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


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


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


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


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


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


14. A discrete variable is a variable than can assume


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


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.

Learn about Pseudo-Random Numbers

Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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