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# A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected b...

## Question

###### A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected by the test is \$.95 .\$ However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is \$.04\$. It is estimated that \$4 \%\$ of the population who take this test have the disease. a. If the test administered to an individual is positive, what is the probability that the

A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected by the test is \$.95 .\$ However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is \$.04\$. It is estimated that \$4 \%\$ of the population who take this test have the disease. a. If the test administered to an individual is positive, what is the probability that the person actually has the disease? b. If an individual takes the test twice and the test is positive both times, what is the probability that the person actually has the disease? (Assume that the tests are independent.) #### Similar Solved Questions

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For each of the following relations R On the given set, (etermine whether is reflexive, symmetric; transitive OI antisyIetTic: and justify YOUI answers You should expect each to have &t least one of these properties. On 2; let aRb if a > b. On 2 again, let akb if a/b. Let A be nonempty set: O...
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