the probability of a randomly selected adult having a rare disease for which a diagnostic test has been developed is 0.001. the diagnostic test is not perfect. the probability the test will be positive (indicating that the person has the disease) is 0.99 for a person with the disease and 0.02 for a person without the disease. if a randomly selected person is tested and the result is positive, what is the probability the individual has the disease?

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02-11-2022
Mathematics

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the probability of a randomly selected adult having a rare disease for which a diagnostic test has been developed is 0.001. the diagnostic test is not perfect. the probability the test will be positive (indicating that the person has the disease) is 0.99 for a person with the disease and 0.02 for a person without the disease. if a randomly selected person is tested and the result is positive, what is the probability the individual has the disease?

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