題組內容
3. Let $X \sim \text{Poisson}(\lambda)$, and conditional on $X = x, Y | X = x \sim \text{Binomial}(x, p)$. (10%)
(2) Compute \( \operatorname{Var}(Y) \).
3. Let $X \sim \text{Poisson}(\lambda)$, and conditional on $X = x, Y | X = x \sim \text{Binomial}(x, p)$. (10%)
(2) Compute \( \operatorname{Var}(Y) \).