Question: need help with 1 Problem 1: Probability Theory (10 points) Suppose that 1% of all people have a rare disease. If a person who has

need help with 1

Problem 1: Probability Theory (10 points) Suppose that 1% of all people have a rare disease. If a person who has the disease is given a test, a positive result occurs 97% of the time. However, if a person who does not have the disease is given test, an erroneous positive test result occurs 2% of the time. Given that a person is tested and a positive result occurs, what is the probability that the person has the disease

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