(b) (5 points) Compute the Bayesian estimator of 6 that minimizes the mean square error (in terms of a: and 3). 3. Let X be the Bernoulli random variable with parameter 9. Let the prior pdf 7Tprgm- be given by the beta pdf with parameters a, [3. Suppose that we have n = 6 samples for X: (a) (5 points) Compute the posterior distribution past (in terms of o: and 6). (c) (5 points) Suppose that a = 96 and [3 = 98. Compute the Bayesian estimator of 9 that minimizes the absolute value of the error (in terms of a and [33)