Suppose that 8% of the patients tested in a clinic are infected with Covid-19. Furthermore, suppose that when a blood test for Covid-19 is given, 95% of the patients tested positive given they are infected with Covid-19 and that 3% of the patients tested positive given they are not infected with Covid-19. What is the probability that a patient is not infected with it given they have been tested negative?

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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Suppose that 8% of the patients tested in a clinic are infected with Covid-19. Furthermore, suppose that when a blood test for Covid-19 is given, 95% of the patients tested positive given they are infected with Covid-19 and that 3% of the patients tested positive given they are not infected with Covid-19. What is the probability that a patient is not infected with it given they have been tested negative? 

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