1. The random variable X has pdf fX(x) = x^−4for x > 1, and 0, otherwise.

(a) Compute E(X) and Var(X).

(b) Let Y =√X. Compute E(Y ) and Var(Y ).

(c) Let W = 2X + 5. Compute E(W) and Var(W).

By the way, how do I get the Math symbols to work while pasting directly from my Words? Thanks