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Question 9 1 pts Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose that for the population of adults that is taking the test, 5% have tuberculosis. The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis. Represent the 76.53% using notation. P(S) P(S) O P( POS IC)Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose that for the population of adults that is taking the test, 5% have tuberculosis. The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis. Represent the 74.6% using notation. O P(S) P(S and POS) O P(POS) P(POS I S)

math   Statistics-And-Probability   
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since 76.53 is probability of tested negative given not have tuberculosis

9) probability of correctly identifying without tuberculosis =P(POSc |Sc) =76.53 %

10)

probability of correctly identifying with tuberculosis =P(POS|S) =74.6 %

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