Most medical tests are not completely accurate. For example, a microscopy test for tuberculosis comes out positive with probability 0.01 when the tested individual doesn't actually have tuberculosis. It comes out negative with probability 0.2 when the tested individual does have tuberculosis. Find the probability a randomly chosen individual will test positive if the proportion of tuberculosis in the population is 0.72. Round your answer to five decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Most medical tests are not completely accurate. For example, a microscopy test for
tuberculosis comes out positive with probability 0.01 when the tested individual doesn't
actually have tuberculosis. It comes out negative with probability 0.2 when the tested
individual does have tuberculosis. Find the probability a randomly chosen individual will test
positive if the proportion of tuberculosis in the population is 0.72. Round your answer to five
decimal places.
Transcribed Image Text:Most medical tests are not completely accurate. For example, a microscopy test for tuberculosis comes out positive with probability 0.01 when the tested individual doesn't actually have tuberculosis. It comes out negative with probability 0.2 when the tested individual does have tuberculosis. Find the probability a randomly chosen individual will test positive if the proportion of tuberculosis in the population is 0.72. Round your answer to five decimal places.
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