Homework: Week 3 Homework 40 pts Score: 0 of 3 pts 3.2.21 Score: 4688%, 18 75 of

Question

Homework: Week 3 Homework 40 pts Score: 0 of 3 pts 3.2.21 Score: 4688%, 18 75 of 40 pts elected woman ill develioge treast cancer given that she has a muation of the BRCA gene 0 Round to one decimal place as needed ) The probability hat a randomly selected woman will cary the gene matation and develop treast cancer is 8016 Round to four decimal places as needed ) ) Are the events of carrying this mutation and developing breast cancer independent or (c) Independent O Dependent Click to select your answer and then click Check Answer ^ 6 n.van7 Type here to

Explanation / Answer

P(C) = 1/8 = 0.125
P(B) = 1/550 = 0.0018
P(C|B) = 9/10 = 0.9

P(B and C) = P(C|B)*P(B) = 0.9*0.0018 = 0.00162

a)
P(C|B) = 9/10 = 0.9

b)
P(B and C) = P(C|B)*P(B) = 0.9*0.0018 = 0.00162

c)
P(B) * P(C) = 0.125 * 0.0018 = 0.000225
P(B and C) = 0.00162

As P(B and C) is not equals to P(B)*P(C), events B and C are independent.

Independent

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