A random variable X is said to have a Poisson distribution if pX(k) = P(X = k)

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A random variable X is said to have a Poisson distribution if pX(k) = P(X = k) = eˆ’λλk/k!, k = 0, 1, 2, . . . . Find the moment-generating function for a Poisson random variable. Recall that
00 e = k! k=0
Distribution
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