Supposed that Y1, Y2, ..., Yn dentoe the random sample from Poisson distribution with the mean λ.
a. Find out the MLE λ (hat) for λ.
b. Find out the expected value and variance of λ (hat)
c. Demonstrate that the estimator of part (a) is consistent for λ.
d. What is the MLE for P(Y = 0) = e=λ?