The standard tine test for tuberculosis attempts to identify carriers, that is, people who have been infected by the tuberculin bacteria. 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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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The standard tine test for tuberculosis attempts to identify carriers, that is, people who have been infected by the tuberculin bacteria. 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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