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Question: studies show that approximately one woman in seven who live...

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Studies show that approximately one woman in seven who live to be 90 will develop breast cancer. Assume that of those women who develop breast cancer, a test for breast cancer is negative 2% of the time (i.e., false negative). Also, assume that the test for breast cancer is negative 85% of the time.

a) What is the probability that a randomly chosen woman develops breast cancer?

b) What is the probability that a randomly chosen woman tests negative for breast cancer?

c) What is the probability that a randomly chosen woman has breast cancer and tests negative for breast cancer?

d) What is the probability that a randomly chosen woman has breast cancer or tests negative for breast cancer?

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