BRCA Gene In the general population, one woman in eight will develop breast cancer. Research has shown that approximately 1 woman in 600 carries a mutation of the BRCA gene. About 6 out of 10 women with this mutation develop breast cancer. (Adapted from Susan G. Komen Breast Cancer Foundation)

(a) Find the probability that a randomly selected woman will develop breast cancer, given that she has a mutation of the BRCA gene.

(b) Find the probability that a randomly selected woman will carry the mutation of the BRCA gene and will develop breast cancer.

(c) Are the events “carrying this mutation” and “developing breast cancer” independent or dependent? Explain. FIGURE FOR EXERCISE 17 FIGURE FOR EXERCISE 18