The incidence of breast cancer varies depending on a womans

The incidence of breast cancer varies depending on a woman\'s age. The National Cancer Institute gives the following probabilities for a randomly chosen woman in her 40s who takes a mammography to screen for breast cancer: What percent of women in their 40s taking a screening mammography receive a positive test result? 97% 13.96% 11.68% 2.28% if a randomly chosen woman in her 40s taking the mammography screening test gets a positive test result, the probability that she indeed has breast cancer is the positive predicted value. PPV = P (Cancer | Positive test). The PPV for this age group is 0.8368. 0.1632. 0.85. 0.0268.

Solution

a)

0.85*0.0268 + 0.12*0.9732

0.1396

13.96%

b)

P( cancer / positive test ) = 0.85 * 0.0268   /   0.1396

Probability = 0.1632