Question: Problem 1: A continuous r.v. X is assumed to have a uniform(0,b) PDF, where b is an unknown value. Consider the binary hypothesis test b=2

Problem 1: A continuous r.v. X is assumed to have

Problem 1: A continuous r.v. X is assumed to have a uniform(0,b) PDF, where b is an unknown value. Consider the binary hypothesis test b=2 Ho : H: b= 3. (a) For P[H.] = 0.5, determine the maximum a posteriori (MAP) test for X (b) Calculate the probability of error for your test in part (a). (c) For P[H.] =p, determine the MAP test for X over the range 0)

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