. 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?
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