Question 2 (5 Points):: Two labs are to be utilized to decide if a patient has...
Question 2 (5 Points):: Two labs are to be utilized to decide if a patient has a certain disease or not. For each lab, the patient gives a binary response: positive/negative. All the possible probabilities for diseased and healthy patients are given below. Labs Result P Both labs are positive Lab A is positive and Lab B is negative Lab A is negative and Lab B is positive Both labs are negative robability for diseased (P1) Probability for healthy (P2) 0.90 0.04 0.01 0.06 0.05 0.08 0.04 0.82 Use these results to construct a classification rule to minimize the ex- pected cost of misclassification when the prior probability of observing a diseased patient is 0.1 and the cost of misclassifying a diseased pa- tient as a healthy is twenty times greater than the cost of classifying a healthy patient as diseased.