Canadian male has recently had a Prostate Specific Antigen (PSA)test as to determine if he has prostate cancer. The false-positiverate of a PSA test is 14%. If he does have prostate cancer, PSAtest will be positive 79% of the time.
Because this male is showing symptoms that are consistent withprostate cancer, it is assumed that the chance he has prostatecancer prior to taking the PSA test is 0.17.
Part (a) What is the probability that the PSA testwill yield a positive result?
(use four decimals in your answer)
Part (b) If the PSA test gives a positive result,what is the probability that he does not have prostate cancer?
(use four decimals)
Part (c) Suppose the PSA test result isnegative, indicating that he does not have prostate cancer and hissymptoms are a result of something else. What is the probabilitythat he does have prostate cancer?
(use four decimals)
