Assume breast cancer affects .007 of the female population between 45 and 55 years of age.

Compute the probability that a female between the ages of 45 and 55 who test positive for breast cancer has breast cancer to three decimal places.

Assume mammograms are .94 accurate detecting people who actually have breast cancer (true positive rate)

Assume mammograms are .91 accurate for people who do not have breast cancer (true negative rate)