Consider binary hypothesis testing in which the observation Y is modeled as
uniformly distributed over -2,2 under H_(0), and has conditional density
|y(|)/(3) under H_(1), where c>0 is a constant to be determined.
(a) Find c.
(b) Find and sketch the decision regions Gamma _(0) and Gamma _(1) corresponding to the ML decision rule.
(c) Find the conditional error probabilities.
Problem 6.7 Consider binary hypothesis testing in which the observation Y is modeled as uniformly distributed over [--2, 2] under Ho, and has conditional density p(y|1) = c(1 - |y|/3)I(-3.3](y) under H1, where c > 0 is a constant to be determined.
(@) Find c. (b) Find and sketch the decision regions To and T corresponding to the ML decision rule (c) Find the conditional error probabilities.