2. [Rice, Problem 7, pg. 314 (Extended)] (Continuation of HW2 Problem 5) Suppose that X1, ..., Xn iid Geometric(p). (a) Find the asymptotic variance of the MLE. (b) Suppose that p has a uniform prior distribution on the interval [0, 1]. What is the posterior distribution of p? (c) Now suppose that we obtained a random sample of size 4 with n i=1 xi = 4. What are the posterior mean AND the posterior median