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b.) find the probability that a randomly selected woman will carry the mutation

ID: 3352093 • Letter: B

Question

b.) find the probability that a randomly selected woman will carry the mutation of the BRCA gene and will devolop breast cancer.

the probability that a randomly selected woman will carry the gene mutation and devolop breast cancer is_______%(round to four decimal places as needed.)

c.) are the events of carrying this mutation and devoloping breast cancer independant or dependant?

In the general population, one woman in ten will develop breast cancer. Research has shown that 1 woman in 550 carries a mutation of the BRCA gene. Seven out of 10 women with this mutation develop breast cancer (a) Find the probablity that a randomly selected woman will develop breast cancer aiven that she has a mutation of the BRCA gene The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is (Round to one decimal place as needed.)

Explanation / Answer

a) P(Breast cancer | Mutation) = 7/10 = 0.7

b) P(Breast cancer and Mutation) = (1/550)*0.70 = 0.1273%

c) The events are dependent.