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Suppose a test for cancer is given. If a person has cancer, the test will detect...

Suppose a test for cancer is given. If a person has cancer, the test will detect it in 96% of the cases; if the person does not have cancer, the test will show a positive result 1% of the time. If we assume that 12% of the population taking the test actually has cancer, what is the probability (rounded to the nearest percent) that a person taking the test and obtaining a positive actually has cancer?

Math   Statistics-And-Probability   
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