Suppose that 1% of the women in a certain population have breast cancer and that each of these women undergoes a mammogram to test for breast cancer. According to one study, the probability that a woman without breast cancer gets a positive test result is 0.121. The probability that a woman with breast cancer gets a negative result is 0.0015. Select one woman from this population at random. 1) Express the provided information using probability notation.

2) Display the provided information using a tree diagram. Then calculate the probabilities of each of the four possible outcomes.

3) Calculate the probability that a randomly selected woman from this population tests positive.

4) Given that the test result is positive, what is the probability that the woman actually has breast cancer?