3.3 Exercise 10

Refer to the information in the example. P = tests positive.

1. Given that a woman develops breast cancer, what is the probability that she tests positive. Find P(P$\left|\right.$B) = 1 - P(N$\left|\right.$B).
2. What is the probability that a woman develops breast cancer and tests positive. Find P(B $\cap$ P) = P(P$\left|\right.$B)P(B).
3. What is the probability that a woman does not develop breast cancer. Find P(B′) = 1 - P(B).
4. What is the probability that a woman tests positive for breast cancer. Find P(P) = 1 - P(N).