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Researchers use Elisa to test for Lyme disease. Lyme disease infects 0.0009 of the US population...

Researchers use Elisa to test for Lyme disease. Lyme disease infects 0.0009 of the US population each year. The test has a detection rate of 0.98 and a false positive rate of 0.2.

a. What is the probability of a positive test?

b. What is the probability that a person with a positive result actually has Lyme disease?

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