Question: Use the moment generating function from Exercise 1 to verify that, if X is Geometric with parameter p, then E(X) = 1/p. In Exercise 1

Use the moment generating function from Exercise 1 to verify that, if X is Geometric with parameter p, then E(X) = 1/p.
In Exercise 1
P(X = x) = px(x) = (1- p)x-lp
For x = 1, 2, 3,...,
and pX(x) = 0 otherwise), then find the moment generating function of X.

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