Let X be distributed Poisson: (k) exp()k k! for nonnegative integer k and 0. (a) Find the log-likelihood function `n(). (b) Find

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.

(0)4 (e)I (08) (e)I ()1 (0)1