Let 9 be a Bernoulli random variable that indicates which one of two hypotheses is true, and let P(9 = 1) : p. Under the hypothesis 9 = 0, the random variable X is uniformly distributed over the interval [0, 1]. Under the alternative hypothesis 9 : l, the PDF of X is given by fXIall' I l) { 0, otherwise. Consider the MAP rule for deciding between the two hypotheses, given that X : 1:. Find the probability of error associated with the MAP rule as a function of 19. Express your answer in terms of p