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Problem 4. Screening Tests Suppose that a certain disease is prese test designed to detect this disease if present. The test does not always work perfectly. Sometimes the test is negative when the disease times that the test produces various results. nt in 10% of the population, and that there is a screening is present, and sometimes it is positive when the disease is absent. The table below shows the proportions of Test is Positive (P) Test is Negative (N) Disease Present (D) Disease Absent (D) a. P(D) Use Bayes Rule and the results of part a to find 07 .03 05 .85 Find the following probabilities from the table: P(Dc)a P(NID) P(DIN)
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