In the generalpopulation, one woman in tenwill develop breast cancer. Research has shown that 1 woman in 600carries a mutation of the BRCA gene. Sevenout of 10 women with this mutation develop breast cancer.

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 of carrying this mutation and developing breast cancer independent ordependent?