Question: If X is a Geometric random variable with parameter p (in other words, P(X = x) = px(x) = (1- p)x-lp For x = 1,

If X is a Geometric random variable with parameter p (in other words,
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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