A random variable X is said to have a Poisson distribution if pX(k) P(X k) ek k , k 0, 1, 2, Find the moment generating function for a Poisson random variable Recall that 00 e k k 0

Question: A random variable X is said to have a Poisson distribution if pX(k) = P(X = k) = ek/k!, k = 0, 1, 2, .

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

00 e = k! k=0

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