A pharmaceutical company has developed a test for a rare disease that is present in 0.3% of the population. The test is 95% accurate in determining a positive result, and the chance of a false positive is 7%. What is the probability that someone who tests positive actually has the disease? (Round your answer to two decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A pharmaceutical company has developed a test for a rare disease that is present in 0.3% of the population. The test is 95% accurate in determining a positive result, and the chance of a false positive is 7%. What is the probability that someone who tests positive actually has the disease? (Round your answer to two decimal places.)
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