Let X1, X2, ..., X10 be a random sample from a gamma distribution with a = 3 and B = 1/6. Suppose we believe that 9 follows a gamma-distribution with a: = 3 and B = 2: 3) Find the posterior distribution of 9. b) If the observed 3? = 18.2, 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