a) Let Y be a random variable with mgf mY(t) =1-
2for −1 < t < 1. Find E(Y ) and V(Y )
b) Let Y be a random variable and mY(t) its mgf. Define RY(t) = log(MY(t)). Calculate RY'(0) and RY''(0) and explain the meaning of these two quantities. (Note: the logarithm uses the natural base.)
