Problem 2 (10 pt) Let X be a random variable which denotes if a patient has AIDS and let T:1 and T2 be the outcomes of two clinical tests with the following error profiles: t1lx x-HIV 0.91 0.09 0.07 0.93 t =HIV + x HIV 0.98 0.02 x=HIV + 0.01 0.99 Compute You may assume that the prior probability p(x - +) is 0.005 Problem 2 (10 pt) Let X be a random variable which denotes if a patient has AIDS and let T:1 and T2 be the outcomes of two clinical tests with the following error profiles: t1lx x-HIV 0.91 0.09 0.07 0.93 t =HIV + x HIV 0.98 0.02 x=HIV + 0.01 0.99 Compute You may assume that the prior probability p(x - +) is 0.005