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Question 19 2 pts The probability of an elderly man having prostate cancer is 0.061. A random elderly man from the population has a DRE

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Question 19 2 pts The probability of an elderly man having prostate cancer is 0.061. A random elderly man from the population has a DRE (digital rectal examination) to screen for prostate cancer. If the elderly man has prostate cancer, there is a 0.51 probability that the DRE will be positive. However, if the elderly man does not have prostate cancer, there is a 0.16 probability that the DRE will give a false positive. If the elderly man's DRE is positive, what is the probability that he actually has prostate cancer? Show your working and round your answer to three decimal places

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