Pregnant women are given multiple blood tests throughout their pregnancy to monitor their health as well as the health of their fetus. A test with a positive result indicates there may exist a health issue with the mother or fetus. False-positive and false-negative results for a given test vary according to the mother's age:

(a) For ages 30, 40, and 49, determine the probability of there actually existing a health
issue if the test produces a positive result. Hint: this question is asking three separate
questions, one for each age group.
(b) For ages 30, 40, and 49, determine the probability of there actually existing a health
issue if the test produces a negative result. Hint: this question is asking three separate
questions, one for each age group.

Question

Pregnant women are given multiple blood tests throughout their pregnancy to monitor their health as well as the health of their fetus. A test with a positive result indicates there may exist a health issue with the mother or fetus. False-positive and false-negative results for a given test vary according to the mother's age:

(a) For ages 30, 40, and 49, determine the probability of there actually existing a health
issue if the test produces a positive result. Hint: this question is asking three separate
questions, one for each age group.
(b) For ages 30, 40, and 49, determine the probability of there actually existing a health
issue if the test produces a negative result. Hint: this question is asking three separate
questions, one for each age group.