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Find the moment generating function of each of the following random variables. Then, use it to...

Find the moment generating function of each of the following random variables. Then, use it to find the mean and variance of the random variable

1. Y, a discrete random variable with P(X = n) = (1-p)p^n, n >= 0, 0 < p < 1.

2. Z, a discrete random variable with P(Z = -1) = 1/5, P(Z = 0) = 2/5 and P(Z = 2) = 2/5.

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