What is the probability that the individual is diseased?

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1. Use the Civilian Labor Force data in the Excel file Census Education Data to find the following: a. P (Unemployed and Advanced Degree) b. P (Unemployed | Advanced Degree) c. P (Not a High School Grad | Unemployed) d. Are the events “Unemployed” and “at least a High School Graduate” independent? 2. A research laboratory proposes a medical test for a certain disease. It is known that 5% of the individuals of the population have this disease. Suppose the probability that the test indicates that an individual is healthy when he/she actually has the disease is 0.1, while the probability that the test indicates a diseased status when the individual is healthy is 0.02. An individual is randomly chosen from the population and administered the test. The result turns out to be positive. What is the probability that the individual is diseased?

 

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