5.84 Show that the moment-generating function for the Poisson random variable with mean is given by

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5.84 Show that the moment-generating function for the Poisson random variable with mean  is given by M(t ) = el(et-1)

M(t ) = [pet + (1 - p)]n Use this result to derive the mean and variance for the Poisson distribution.

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Probability And Statistics For Engineers

ISBN: 9781133006909

5th Edition

Authors: Richard L Scheaffer, Madhuri Mulekar, James T McClave, Cecie Starr

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