The incidence of breast cancer varies depending on a woman\'s age. According to
ID: 3130131 • Letter: T
Question
The incidence of breast cancer varies depending on a woman's age. According to the National Cancer Institute, 1.49% of women in their 40s has breast cancer. If a woman in her 40s has breast cancer, a mammography screening test is positive 8096 of the time. If a woman in her 40s docs not have breast cancer, the mammography screening test is positive 10% of the time. Use this scenario to answer the next 2 question Find the closest answer. What is the probability a randomly selected woman in their 40s tests positive and has breast cancer If a randomly chosen woman in her 40s taking the mammography screcn.ng test gets a posit.vc test result, what is the probability that she indeed has breast cancer? The distribution of total body protein in healthy adult men is Normal with mean 12.3 kg and standard deviation 0.4 kg. If you take a random sample of 4 healthy adult men, what is the probability that their mean total body protein Is between 12.2 and 12.4 kg?Explanation / Answer
10.
Let
P = positive
C = has cancer
Hence,
P(P n C) = P(C) P(P|C) = 0.0149*0.80 = 0.01192 [ANSWER, B]
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11.
As
P(P) = P(C) P(P|C) + P(C') P(P|C') = 0.0149*0.80 + (1-0.0149)*0.10 = 0.11043
Then
P(C|P) = P(C) P(P|C)/ P(P) = 0.0149*0.80/0.11043 = 0.108 [ANSWER, A]
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