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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Related Book For
Probability And Statistics For Engineers
ISBN: 9781133006909
5th Edition
Authors: Richard L Scheaffer, Madhuri Mulekar, James T McClave, Cecie Starr
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