1 1. Let X1, ...,Xn be a random sample from a Gamma distribution with parameters do and 9 =; where a: is known. Suppose the prior on I is gamma with parameters an and 90, where an and 90 are both known. a) Find the posterior distribution oft given X1 = x1. ..., Xn = Kim b) For the squared error loss function, nd the Bayesian estimate of T. c) Find the maximum likelihood estimate 0ft. (1) Rewrite the Bayesian estimate of 1' from part b) as a function of the MLE estimate from part c)