Question

Suppose that the random variable $X$ has an $\text{Exp}\left(\frac{1}{5}\right)$ distribution, and for any $x > 0$, the conditional distribution of the random variable $Y$, given $X = x$, is $N(x, 2)$. Then $\text{Var}(X + Y)$ is equal to:

• A. 52
• B. 50
• C. 2
• D. 102

Answer 1

Answer: (D)

102

Answer 2

The correct option is (D): 102