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4 generalize the bayesian analysis of medical screening given in...

Question: 4 generalize the bayesian analysis of medical screening given in...

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4. Generalize the Bayesian analysis of medical screening given in class. Let a rare disease D occur with probability P(D) = δ, with δ small. The test for this disease is accurate such that the probability of a correct result is 1-e, with e small. Derive formulas for the probabilities of a true positive P(D|+) and a false positive, P(Dl+). For this screening to be useful at a given δ, what is required of e ?

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