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Important: Show All work (see image for question) 2. The 2020 statistics show that 50% of women age 20 and younger have taken a pregnancy

Important: Show All work (see image for question)

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2. The 2020 statistics show that 50% of women age 20 and younger have taken a pregnancy test and 30% of those who have taken a pregnancy test are or have been pregnant. Over-the-counter pregnancy tests give a false positive 5% of the time and a false negative 13% of the time. a. Assuming that none of the women who did not take a pregnancy test were pregnant, what percentage of women age 20 and under are or have been pregnant? b. Given that a woman took a pregnancy test, what is the probability that she had a false negative test? c. For a woman who received a negative pregnancy test, what is the probability she actually was pregnant? d. For a woman who received a positive pregnancy test, what is the probability that she was not pregnant

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