this is my answer...
A)
let B be event of a patiet having breast cancer
let X be event of a mammogram giving a positive result
P(X) = P(X|B)*P(B) + P(X| not B) * P (not B) = 0.95*0.025 + 0.1*0.975 = 0.12125
P(B|X) = {P(X|B) * P(B)} / P(X) = 0.95 * 0.025 / 0.12125 = 19/97
B)
i)...
Homework Statement
in screening for breast cancer, the probability that a mammogram will give a postive result, given that the in dividual has breast cancer is 0.95 (true positive). However the probability of a false positive is 0.1
(a) in a particular population of women, the likelihood...