MCQs Random Variables 2

This test contains MCQs about Random Variables. Let us Start with the MCQs test about Random Variables.

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


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


3. If $X$ and $Y$ are independent random variables then $VAR(X-Y)$ 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. $Var(X/3)=$?


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


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


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


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


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


11. $Var(3X – 4Y)=$?


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


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


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


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


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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