Two Basic Rules of Probability · Example 17
Refer to the information in. P = tests positive.
(a) Given that a woman develops the disease, what is the probability that she tests positive? Find P(P|B) = 1 − P(N|B).
(b) What is the probability that a woman develops the disease and tests positive? Find P(B AND P) = P(P|B)P(B).
(c) What is the probability that a woman does not develop the disease? Find P(B′) = 1 − P(B).
(d) What is the probability that a woman tests positive for the disease? Find P(P) = 1 − P(N).
OpenStax, Statistics · §3.3 Two Basic Rules of Probability · Example 17
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