RANDOM VARIABLE AND PROBABILITY DISTRIBUTIONS – MCQs

44 questions. Click to practice.

Correct options are highlighted when revealed.

1.Which type of variable is represented by the hourly temperature measurements recorded by the weather bureau?

2.What is the variance of the random variable kY expressed as?

3.If X and Y are two independent random variables, what is the variance of their sum or difference (X ± Y)?

4.What is the formula used to calculate the coefficient of variation (C.V)?

5.What is the expected value of a constant variable c?

6.What is the likelihood of selecting a ball at random from the jar?

7.What is the probability of an exact value occurring in a continuous probability density function (pdf)?

8.What is the range within which the probability of any event must fall?

9.What does E(X) represent for a random variable X?

10.Given a distribution function F(X), if F(-∞) equals 0, what is the value of F(∞)?

11.Which expression corresponds to the distribution function F(X)?

12.What is another term commonly used to refer to the probability distribution of a random variable?

13.What is the nature of a probability function?

14.Which of the following can be used to represent a discrete probability distribution?

15.For a discrete random variable X, what is the formula for the expected value E(X)?

16.Given constants a and b, what is the variance of the expression a + bX?

17.Which type of variable best describes the count of faulty bulbs in a batch?

18.Which of the following best describes a random variable?

19.What is the name of the function that gives the probability that a random variable X is less than a certain value?

20.What do we call the numbers generated through a random procedure?