STT051 Inferential Statistics and Biometry Final Examination June 3, 2022 GENERAL INSTRUCTION. Answer the following problems and show your complete solution including the formula used in the problem. MAGIC is strictly prohibited!2. Suppose two medical doctors, A and B, test all patients coming into a clinic for cancer. Let events A+ = {doctor A makes a positive diagnosis} and B+ = {doctor B makes a positive diagnosis}. Suppose doctor A diagnoses 15% of all patients as positive, doctor B diagnoses 23% of all patients as positive, and both doctors diagnose 8% of all patients as positive. a) What is the probability that either doctor A or B makes a positive diagnosis? b) What is the probability that doctor B makes a positive diagnosis of cancer given that doctor A makes a positive diagnosis