Assume breast cancer affects 0.007 of the female population between 45 and 55 years of age.

True positive (the test indicates you have the disease, and you actually have it)

False positive (the test indicates you have the a disease, but you actually do not)

Assume mammograms are

0.93 accurate detecting people who actually have breast cancer (true positive rate)

0.92 accurate for people who do not have breast cancer (true negative rate)

Compute the probability that a female between the ages of 45 and 55 who tests positive for breast cancer has breast cancer, and enter your answer with 3 decimal places.