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In: Statistics and Probability

A hospital administers a test to see if a patient has a certain disease. 2 %...

A hospital administers a test to see if a patient has a certain disease. 2 % of the overall population has the disease. The test is 90% accurate.

(a)If a patient tests positive, what is the probability that they actually have the disease?

(b) If we instead perform two successive tests on each person, what is the probability that a person who tests positive both times actually has the disease? (Hint: drawing a probability tree might help)

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