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Take a Test - Alexandria Dittmer-Google Chrome Secure | https://www.mathxl. tu MAT 165-98Z1 45633 Alexandna D Quiz: Module 4 Lesson 4 Quiz- Bayes' Theorem Submit Qu This Question: 1 pt 3 of 10 (9 This Quiz: 10 pts possib Overview, question 3 of 10 9 c A newspaper on January 24 1997, discussed the recommendation of a special panel concerning mammograms for women in heir 40s About 4% of women aged 40 to 49 years old develop breast cancer in their 40s. But the mammogram used for women in that age group has a high rate of false positives and false negatives, the false positive rate is 0.22, and the false negative rate is 0.29. If a woman in her 40s has a positive mammogram, what is the probability that she actually has breast cancer? Pr(cancer). Pri-testicancer) Pr(cancer) . Pr(-testicancer)·Pr(no cancer-Pr( + testno cancer) Pr(cancer). Pr+testcancer) Pr(cancer)- Pr+ testicancer) + Pr(no cancer).Prí+ testno cancer) Pr(+ testicancer) O C. Prí + testjcancer)+ Pr+testino cancer) Pr-testicancer) Prí-testino cancer) Prícancer) Prí-testicancer) Pr(cancer) Pri+ test/cancer)+ Pr(no cancer). Pr(+testino cancer) The probability that a woman that has a positive mammogram actually has cancer is © (Type an integer or a simplified fraction.) s)

Explanation / Answer

here option B is correct

from that probability =0.04*(1-0.29)/(0.04*(1-0.29)+0.96*0.22)=0.1185

please revert for any clarification

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