A test is available to diagnose a disease. If a person has the disease, the probability that the test will produce a positive signal is 0,96. If a person does not have the disease, the probability that the test will produce a positive signal is 0.05. Assume that the proportion of people in the community who have the disease is 0.15. Given that the test is positive, what is the probability that the person has the disease

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A test is available to diagnose a disease. If a person has the disease, the probability that the test will produce a positive signal is 0,96. If a person does not have the disease, the probability that the test will produce a positive signal is 0.05. Assume that the proportion of people in the community who have the disease is 0.15. Given that the test is positive, what is the probability that the person has the disease?

 
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