A test for a particular type of cancer gives a positive result for a person who has this cancer with probability 0.95 and gives a positive result for a person who does not have this cancer with probability 0.05 (i.e., false-positive). In the general population, 1 out of 100,000 people has this cancer. If a person selected at random gets a positive test result, what is theprobability that he has this type of cancer?

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pt denotes positive test results c denotes person with cancer nc denote... View the full answer