The conditional pdfs corresponding to two hypotheses are given: fly | Ho) = exp(-) f(y |...

Transcribed Image Text:

The conditional pdfs corresponding to two hypotheses are given: fly | Ho) = exp(-) f(y | H)= 1 exp y >0 y>0 Suppose we want to test these hypotheses based on two independent samples y and y2. Assume equally likely priors. a) Derive the Bayes decision rule for the test, assuming Coo = C11 = 0 and C01=C10 = 1. b) Calculate Pr(Do | Hi) and Pr(D1 | Ho). The conditional pdfs corresponding to two hypotheses are given: fly | Ho) = exp(-) f(y | H)= 1 exp y >0 y>0 Suppose we want to test these hypotheses based on two independent samples y and y2. Assume equally likely priors. a) Derive the Bayes decision rule for the test, assuming Coo = C11 = 0 and C01=C10 = 1. b) Calculate Pr(Do | Hi) and Pr(D1 | Ho).