Studies show that about five women in seven (approximately 71.4%) who live to be 90 will develop breast cancer. Suppose that of those women who develop breast cancer, a test is negative 25% of the time. Also, suppose that in the general population of women, the test for breast cancer is negative about 45% of the time. Let B=women develops breast cancer, P=tests positive, and N=tests negative. Suppose one woman is selected at random. Round your answer to three decimal places. Given that a woman develops breast cancer, what is the probability that she tests positive. Find P(P|B) = 1-P(N|B). What is the probability that a woman develops breast cancer and tests positive. Find P(B AND P) = P(P|B)P(B). What is the probability that a woman does not develop breast cancer. Find P(B’) = 1-P(B). What is the probability that a woman tests positive for breast cancer. Find P(P)=1-P(N).

Answer to a math question Studies show that about five women in seven (approximately 71.4%) who live to be 90 will develop breast cancer. Suppose that of those women who develop breast cancer, a test is negative 25% of the time. Also, suppose that in the general population of women, the test for breast cancer is negative about 45% of the time. Let B=women develops breast cancer, P=tests positive, and N=tests negative. Suppose one woman is selected at random. Round your answer to three decimal places. Given that a woman develops breast cancer, what is the probability that she tests positive. Find P(P|B) = 1-P(N|B). What is the probability that a woman develops breast cancer and tests positive. Find P(B AND P) = P(P|B)P(B). What is the probability that a woman does not develop breast cancer. Find P(B’) = 1-P(B). What is the probability that a woman tests positive for breast cancer. Find P(P)=1-P(N).

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