Studies show that one woman in seven who live to be 90 will develop breast cancer in their lifetime. Suppose that of those woman who develop breast cancer a test is negative 2% of the time. In addition, suppose that in the general population of woman the test for breast cancer is negative about 85% of the time. Let B = a woman develops breast cancer. Let N = the test is negative. Suppose one woman is selected at random. Show your work for the following questions. a. What is the probability that the woman has breast cancer? b. What is the probability that she tests negative? c. Given that the woman develops breast cancer, what is the probability that she tests negative? d. What is the probability the woman has breast cancer and tests negative? e. What is the probability that the woman has breast cancer or tests negative? f. Given that the woman develops breast cancer, what is the probability that she tests positive? g. What is the probability that the woman develops breast cancer and tests positive