A test for a certain disease has a probability of 0.92 of detecting the disease when it is present and a probability of 0.08 of falsely detecting it when it is not present. The proportion of people who are not afflicted by the disease for a given population is 70%. What is the probability that a randomly selected person from the district will test positive?

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 test for a certain disease has a probability of 0.92 of detecting the disease when it is present and
a probability of 0.08 of falsely detecting it when
it is not present. The proportion of people who are not afflicted by the disease for a given
population is 70%.
What is the probability that a randomly selected person from the district will test positive?
Transcribed Image Text:A test for a certain disease has a probability of 0.92 of detecting the disease when it is present and a probability of 0.08 of falsely detecting it when it is not present. The proportion of people who are not afflicted by the disease for a given population is 70%. What is the probability that a randomly selected person from the district will test positive?
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