probability task

inde7

New Member
#1
I started my studies in statistics and was given an exercise, which I have a problem with:

On average, one woman in 70 is pregnant. A pregnancy test has been developed. However, the test sometimes gives false results, i.e. it detects a true pregnancy in 97 out of 100, and in the absence of pregnancy, it finds it in 1% of cases. One woman was selected at random and found pregnant after testing. What is the probability that the selected woman is actually pregnant?