EXERCISE 7. Let X be a random variable, for each real number t, define p(t) = E(e" ). The function (t) is called the moment generating function of X. Please try to give the moment generating function of the Poisson distribution with mean å.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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7. Let X be a random variable, for each real number t, define
P(t) = E(e*).
The function @(t) is called the moment generating function of X. Please try to give
the moment generating function of the Poisson distribution with mean 2.
Transcribed Image Text:EXERCISE 7. Let X be a random variable, for each real number t, define P(t) = E(e*). The function @(t) is called the moment generating function of X. Please try to give the moment generating function of the Poisson distribution with mean 2.
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