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Problem 1: Consider an M-ary hypothesis decision problem based on the MAP criterion with M= 3, 1=1/8,2=1/2,3=3/8. Let p1(x)=(1/2)exp(x),p2(x)=(1/2)exp(x2/2), and p3(x)= (1/8)exp((x2)2/8), where <x<. Find the decision regions for the three hypotheses based on the MAP criterion..

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Problem 1: Consider an M-ary hypothesis decision problem based on the MAP criterion with M= 3, 1=1/8,2=1/2,3=3/8. Let p1(x)=(1/2)exp(x),p2(x)=(1/2)exp(x2/2), and p3(x)= (1/8)exp((x2)2/8), where <x<. Find the decision regions for the three hypotheses based on the MAP criterion.

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  • 1. Problem 1: Consider an M-ary hypothesis decision problem based on the MAP criterion with M= 3, 1=1/8,2=1/2,3=3/8. Let p1(x)=(1/2)exp(x),p2(x)=(1/2)exp(x2/2), and p3(x)= (1/8)exp((x2)2/8), where <x<. Find the decision regions for the three hypotheses based on the MAP criterion.