Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Probability Distributions

Question:

A discrete random variable X can take values 0, 1, 2, 3. Given that P(X = 0) = P(X = 2) = k and P(X = 1) = P(X = 3) such that E(X2) = 2E(X). The value of k is:

Options:

$\frac{3}{4}$

$\frac{3}{8}$

$\frac{1}{2}$

$\frac{3}{2}$

Correct Answer:

$\frac{1}{2}$

Explanation:

The correct answer is Option (3) → $\frac{1}{2}$