Now use the moment generating function from Exercise 43.1 to verify that, if X is Geometric with

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Now use the moment generating function from Exercise 43.1 to verify that, if X is Geometric with parameter p, then E(X2) = (2 - p)/p2.
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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Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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