In the four most recent three-month periods the following realizations for X are observed: 1, 2, 0, and 1. (a) Compare the Bayes estimator for 0 with the MLE (For Poisson, recall, OMLE = X). (b) Compute (numerically) a 95% equitailed credible set. (c) Compute (numerically) a 95% HPD credible set. (d) Numerically find the mode of the posterior, that is, MAP estimator of 0. (e) If you test the hypotheses Ho : 021 US H1 : 0