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The conditional pdfs corresponding to two hypotheses are given: f(x|H0) = {exp(-x) , x >= 0 {0 , x < 0 f(x|H1) = {1/2 ,

The conditional pdfs corresponding to two hypotheses are given:

f(x|H0) = {exp(-x) , x >= 0

{0 , x < 0

f(x|H1) = {1/2 , 2<= x <= 4

{0, else

What is the decision rule that maximizes PD for a PFA = exp(-4)? Be sure to calculate the threshold that yields the desired PFA

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