Question: 1. Suppose that the moment generating function (MGF) of a random variable Y is m(t)= = eet 1-t > 0 is a known constant.

1. Suppose that the moment generating function (MGF) of a random variable Y is m(t)= = eet 1-t > 0 is a known constant. Find m' (t) and E(Y). 2. Let m(t) = (2) et + () et. () e t. Find E(Y) and V(Y). 3. The length of time to failure (in hundreds hours) for a transistor is a random variable Y with distribution function given by 0 F(y) = { - e-y - iy

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