MTH302

1. Which of these numbers can be a value of probability distribution of a discrete random variable?

a) 2 b) 0.5 c) 3 d) -0.5

2. If X is a discrete random variable, and its p.m.f is given by f(x) = (x + 2)/25 for x = 1, 2, 3, 4, 5, then P(x < 4)?

a) 18/25 b) 12/25 c) 10/25 d) 6/25

3. Find the variance of getting head when two coins are tossed.

a) 1 b) 0.5 c) 0.8 d) 3.5

4. If C is a constant (non-random variable), then E(C) is:

a) C b) 1 c) 0 d) Undefined

5. Which of the following is not possible in probability distribution?

a) p(x) ≥ 0 b) Σp(x) = 1 c) Σxp(x) = 2 d) p(x) = -0.5

6. The probability distribution of a continuous random variable is classified as:

a) Probability mass function b) Probability density function c) Posterior mass function d) Continuous mass function

7. If the random variable takes negative values, then the probability of negative values will have:

a) Positive values b) Negative values c) Zero value d) Difficult to tell

8. A quantity resulting from an experiment that, by chance, can assume different values is called:

a) Random Experiment b) Random variable c) Random sample d) Random Process

9. A variable which can assume all values in the range of a random variable is called:

a) Finite b) Infinite c) Continuous d) Discrete

10. If the function f(x) = 4x represents a probability density function, then which of the following could be the domain of f?

a) 0 < x < √2 b) 0 < x < 1 c) -0.5 < x < 0.5 d) 0 < x < 0.2

Math MCQs