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 0.31. Round your answer to five decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 0.31. 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 0.31. Round your answer to five decimal places.
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