A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results. Positive Negative Total Pregnant Not Pregnant 77 4 81 9. 78 87 Total 86 82 168 Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places. a. P(Positive | Pregnant) = b. What is the probability that the woman is pregnant given that the test is positive? c. Given that a woman is pregnant, what is the probability that the test is negative?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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A home pregnancy test was given to women, then pregnancy was verified through blood tests. The
following table shows the home pregnancy test results.
Positive
Negative
Total
Pregnant
Not Pregnant
77
4
81
78
87
Total
86
82
168
Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places.
a. P(Positive | Pregnant) =
b. What is the probability that the woman is pregnant given that the test is positive?
C. Given that a woman is pregnant, what is the probability that the test is negative?
d. P(Not Pregnant | Negative) =
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Transcribed Image Text:A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results. Positive Negative Total Pregnant Not Pregnant 77 4 81 78 87 Total 86 82 168 Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places. a. P(Positive | Pregnant) = b. What is the probability that the woman is pregnant given that the test is positive? C. Given that a woman is pregnant, what is the probability that the test is negative? d. P(Not Pregnant | Negative) = Add Work
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