Sem.1 Final

$ \DeclareMathOperator{\Normal}{Normal} \DeclareMathOperator{\Exp}{Exp} $

Part I

Givens:

\begin{gather*} X \sim \Normal(\mu=2, \sigma^2 = 5) \\ W \sim \Exp(λ=-0.6) \end{gather*}

1. Produce good estimates (or exact values) for $E[X]$, $E[W]$, and $E[Y]$. Explain the method(s) you used in a few words or sentences.

2. Find the variance of Y.