Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease is 95 %. A person who actually has the disease is tested for it using this procedure by two independent laboratories. (i) What is the probability that both test results will be positive? (ii) What is the probability that at least one of the two test results will be positive?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular
disease is 95 % . A person who actually has the disease is tested for it using this procedure by
two independent laboratories.
(1) What is the probability that both test results will be positive?
(ii) What is the probability that at least one of the two test results willI be positive?
Transcribed Image Text:Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease is 95 % . A person who actually has the disease is tested for it using this procedure by two independent laboratories. (1) What is the probability that both test results will be positive? (ii) What is the probability that at least one of the two test results willI be positive?
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