Pr(D) = 0.8, Pr(P | D) = 0.95, and Pr(P | N) = 0.1. Compare your results with Exercise 38.
In the above case, the test does not catch every sick person. Let D denote the event of an individual having the disease, N the event of not having the disease, and P the event of a positive result on the test. Find Pr(D | P) and Pr(D | Pc) (the probability that a person who did not test positive has the disease).