WORKBOOK ASSIGNMENT 6: BAYESIAN ESTIMATES (following Hogg, Mckean & Craig, exercise 11.2.2) Let X1,X2, ...; X10 be a random sample from a gamma distribution with a = 3 and B = 1/0. Suppose we believe that 0 follows a gamma-distribution with a = 3 and B = 2: a) Find the posterior distribution of 0. b) If the observed x = 19, what is the Bayes point estimate associated with the square-error loss function? c) What is the Bayes point estimate using the mode of the posterior distribution