Consider a binary hypothesis testing problem where under H the random variable X is Geometric with expected value of 2, while under Ho, it is instead uniform (its pmf is constant) on the set of positive consecutive integers (2, 3, 4, 5). (a) Obtain the Maximum Likelihood rule. To be definite, ties are broken in favor of H. (b) Underthe Maximum Likelihood rule from part (a), obtain the probability of missed detection. (c) Let P(Ho) = p. For what value of p will Ho be always be chosen under MAP rule on the set of positive consecutive integers (2, 3, 4, 5}?