a) Find the Bayes optimal decision rule and minimum Bayes cost for testing Hiv virus Ho with equal a priori probabilities and costs Coo =C1=0, Co1 = C10 =1. (b) Find the minimax decision rule and...

a) Find the Bayes optimal decision rule and minimum Bayes cost for testing Hiv virus Ho with equal a priori probabilities and costs Coo =C1=0, Co1 = C10 =1.
(b) Find the minimax decision rule and minimax cost for the same costs as in part (a). (c) Find the Neyman-Pearson decision rule and the probability of detection P for an arbitrary false alarm probability 0 2: (30 points)
Consider a binary hypothesis testing problem where we are given K independent, identity cally distributed (iid) observations with conditional densities: