Problem 3 (4 points) Let X1, ..., Xn a random sample from the Poisson distribution with mean A. (a) (2 points) Find the MLE of 1. (b) (1 point) Show that the MLE is consistent. (c) (1 point) What is the MLE for P(Y = 0) = e-*? 1 Problem 4 (3 points) Let X1, . .., Xn a random sample from a Uniform distribution on the interval [0, 20 + 1]. (a) (2 points) Find the MLE of 0. (b) (1 point) Find the MLE for the variance of the distribution of Xi