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3. It is estinated that 2% of the members of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C. Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C. (b)
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