A home pregnancy test is not always accurate. Suppose the probability that the test indicates that a woman is pregnant when she actually is not is 0.02, and the probability the test indicates that a woman is not pregnant when she really is, is 0.02. Assume that the probability that a woman who takes the test is actually pregnant is 0.75.

a). What is the probability that the test indicates that a woman is not pregnant? (Hint: It is not given above -- you have to calculate it!)

b). What is the probability that a woman is pregnant if the test yields a not pregnant result?