Let X1, X2, ..., Xn be iid Poisson(). (a) Show that the most powerful test of size a of H:0= 2 vs : = H:0=1 rejects H, when = Xi < c for some constant c. (b) Find an approximate value of c if n=64 and a = 0.05. You may assume that the mean and variance of the Poisson (∅) are both ∅