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There is a new diagnostic test for a disease that occurs in about 0.05% of the population. The test is not perfect. Its sensitivity is 99% and its...

There is a new diagnostic test for a disease that occurs in about 0.05% of the population. The test is not perfect. Its sensitivity is 99% and its specificity is 97%. A person is chosen at random from this population and the tests indicate that this person has the disease. What is the probability that the person has the disease?

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