Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

For the following probability distribution :

X 1 2 3 4
P(X) $\frac{1}{10}$ $\frac{1}{5}$ $\frac{3}{10}$ $\frac{2}{5}$

$E(X^2)$ is equal to :

Options:

3

5

7

10

Correct Answer:

10

Explanation:

The correct answer is option (4) → 10

$E(X^2)=∑X^2P(X)$

$=1^2×\frac{1}{10}+2^2×\frac{1}{5}+3^3×\frac{3}{10}+4^2×\frac{2}{5}$

$=\frac{1}{10}+\frac{8}{10}+\frac{27}{10}+\frac{64}{10}=\frac{100}{10}=10$