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4. A laboratory screening test for the detection of a certain disease gives a positive result 6% of the time for people who do not

4. A laboratory screening test for the detection of a certain disease gives a positive result 6%

of the time for people who do not have the disease. The test gives a negative result 0.5%

of the time for people who do have the disease. Large-scale studies have shown that the

disease occurs in about 3% of the population.

  1. Fill in a two way table, showing the results expected for every 100,000 people.

b. What is the probability that a person selected at random tests positive for this disease?

c. What is the probability that a person selected at random who tests positive for the

disease does not have the disease?

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