A random variable Z ahs Poisson distribution if p(k) = P(Z = ? k e ?k /

Question:

A random variable Z ahs Poisson distribution if

p(k) = P(Z

= ?^ke^?k / k!

For k = 0, 1, 2 . . .

(a) Use the expansion

To show that

(b) Calculate the mean E[Z] and the varianceVar(Z)

Distribution
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