(Solution) - Pr D 0 8 Pr P D 1 0 and Pr P -(2025 Original AI-Free Solution)

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Pr(D) = 0.8, Pr(P | D) = 1.0, and Pr(P | N) = 0.1.
Find the joint distribution of the two events in the rare disease model where a person either has the disease (event D) or does not (event N) and either tests positive (event P) or does not (event Pc) in the above case. Use the joint distribution to find Pr(D | P).