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10. (+4) A certain disease afflicts 2% of a certain population. A diagnostic test for the disease is quite accurate, producing positive results for 95%

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10. (+4) A certain disease afflicts 2% of a certain population. A diagnostic test for the disease is quite accurate, producing positive results for 95% of patients who actually have the disease and negative results for 90% of patients who do not have the disease. If a person chosen at random from the population receives a positive test result, what is the conditional probability that she has the disease

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