Muhammad Imdad Ullah

The post is about the Random Variables MCQs Test. There are 20 multiple-choice questions covering topics about the basics of random variables, types of random variables, dependent and independent variables, expectation and variance of random variables, and joint density of random variables. Let us start with the Random Variables MCQs Quiz.

Online MCQs Random Variable with Answers

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

 $ E(X) + Y $

 $ E(X) – E(Y) $

 $ E(X) + E(Y) $

 $ E(X) \times E(Y) $

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

 $ 4E(X) + 2 $

 $ 4E(X) $

 $ 4E(X)\times 2 $

 None of these

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

 $ E(X) – E(Y) $

 $ E(X) + E(Y) $

 $ E(X) \cdot E(Y) $

 Zero

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

 10

 18

 15

 5

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

 20

 10

 25

 7

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

 $Var(x)Var(Y)$

 $Var(X)-Var(Y)$

 $Var(X)+Var(Y)$

 $Var(X)Y$

7. 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:

 Likelihood Function

 Log Function

 Marginal Function

 Maximum Likelihood Function

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

 11

 8

 None of these

 83

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

 $E(X)E(Y)$

 $XE(Y)$

 $E(X)Y$

 $E(X)+E(Y)$

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

 Distribution function

 Survival function

 Density function

 Probability function

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

 5

 6

 3

 2

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

 $2-Var(3X)$

 $Var(3X)$

 $9Var(X)$

 $Var(2)-Var(3X)$

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

 $ SD(X) + SD(Y) $

 $ SD(X) \times SD(Y) $

 $ SD(X+Y) $

 $ SD(X) – SD(Y) $

14. A discrete variable is a variable that can assume

 Countable values only

 Categorical values only

 Uncountable Values

 Constant value

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

 1

 $ a^2 $

 0

 $ a $

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

 $E(X)E(Y)$

 $E(X)+E(Y)$

 $E(X)-E(Y)$

 $E(X)+Y$

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

 Variance

 Zero

 SD

 Mean

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

 10

 1

 1/100

 Zero

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

 $ SD(a) + SD(b)X $

 $ SD(a) – SD(b) $

 $ b\sqrt{Var(X)} $

 $ a + bSD(X) $

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

 13

 1

 16

 9

 Loading …

Random Variables MCQs

• $E(X-\mu)$ = ?
• 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

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The post is about Random Variable MCQ Questions. There are 20 multiple-choice questions in the quiz. The quiz covers topics related to the generation of random numbers, types of random variables, examples of random variables, Expected value and variance of random variables, and distribution of random variables. Let us start with Random Variable MCQ questions.

Please go to Important Random Variable MCQ Questions 4 to view the test

Online Random Variable MCQ Questions

• Random numbers are generated by some
• In generating random numbers there are ———- number of assumptions to follow
• In generating random numbers the probability of each digit/number is
• In a family with two children, how many are girls there
• A discrete variable is also called
• Discrete data is usually generated by the process
• The sum of dots when two dice are rolled is an example of
• The number of deaths in a road accident is an example of ———- variable
• The number of children in a family is an example of ———- variable
• A variable which can assume all values in the range is called
• Usually, measurements give rise to ———– data
• Continuous variables can assume ———– values
• The amount of milk produced by a cow is ———- variable
• A variable that takes measurable values is called a
• The set of all possible outcomes of a random experiment is called
• A Chi-Square random variable can assume the value
• The number of automobile accidents per year in Multan city is an example of
• Which of the following is a characteristic of the probability distribution of a random variable?
• If $X$ and $Y$ are random variables, then $E(X-Y)$ is equal to
• If $X$ and $Y$ are independent random variables, then $Var(X-Y)$ is equal to

https://rfaqs.com, https://gmstat.com

The post is about Random Variable Quiz. There are 20 multiple-choice questions covering topics related to the basics of random variables, types of random variables, dependent and independent random variables, distribution of random variables, and mean and variance of random variables. Let us start with MCQs Random Variable Quiz.

Please go to Best MCQs Random Variable Quiz 3 to view the test

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

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