The probability of a false negative is 0.08; that is, the probability of the tine test giving a negative reading to a carrier is P(− | C) = 0.08. The probability of a false positive is 0.04; that is, the probability of the tine test giving a positive indication when a person is a non-carrier is P(+ | N) = 0.04. The probability of a random person in the United States having tuberculosis is 0.0075. Find P(N | −), where − is the event "test shows negative". (Round your answer to four 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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 The probability of a false negative is 0.08; that is, the probability of the tine test giving a negative reading to a carrier is P(− | C) = 0.08. The probability of a false positive is 0.04; that is, the probability of the tine test giving a positive indication when a person is a non-carrier is P(+ | N) = 0.04. The probability of a random person in the United States having tuberculosis is 0.0075. Find P(N | −), where − is the event "test shows negative". (Round your answer to four decimal places.)

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