# Find the probability using Bayesian theorem

A certain disease occurs in 8% of the population. A test for the disease is fairly accurate: it misclassifies people with the disease as healthy 5% of the time and reports that a healthy person is diseased just 5% of the time. Suppose that a person tests positive for the disease. Compute the probability that the person does not have the disease. Round your answer to two decimal places

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Answer:

Let D be event of disease

C be event of testing ...

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The solution gives detailed steps on finding the probability using Bayesian theorem.

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