(Answered) Probability that she tests negative

Statistics

Problem: Studies show that, if she lives to be 90, about 1 woman in 7 (approximately 14.3%) will develop breast cancer. Suppose that of those women who develop breast cancer, a test is negative 2% of the time. Also suppose that in the general population of women, the test for breast cancer is negative about 85% of the time. Let B = woman develops breast cancer and let N = tests negative. Suppose one woman is selected at random.

Required:

Given that the woman has breast cancer, what is the probability that she tests negative? Provide your rationale and any supporting data.

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