In: Statistics and Probability
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)