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) O P(SC) O P(POSC | Sº)

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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(SC)
O P(POSC | Sº)
O P(POS | C)
Transcribed Image Text: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(SC) O P(POSC | Sº) O P(POS | C)
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