Let X be distributed Poisson: (k) exp()k k! for nonnegative integer k and 0.

Question:

Let X be distributed Poisson: ¼(k) Æ

exp(¡µ)µk k!

for nonnegative integer k and µ È 0.

(a) Find the log-likelihood function `n(µ).

(b) Find theMLE bµ for µ.

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