Question

Let $X$ be a random variable such that $X$ and $-X$ have the same distribution. Let $Y = X^2$ be a continuous random variable with the probability density function
$g(y) = \begin{cases} \frac{e^{-y/2}}{\sqrt{2\pi y}}, & \text{if } y > 0 \\\0, & \text{if } y \leq 0 \end{cases}.$
Then $E((X - 1)^4)$ is equal to:

• A. 9
• B. 10
• C. 11
• D. 12

Answer 1

Answer: (B)

10

Answer 2

The correct option is (B): 10