About 21 women in 100,000 have a certain disease (D), so P(D) = 0.00021 and P(no D) = 0.99979. The chance that a test will detect the disease when it is present is P(test pos|D) = 0.88. The chance that a test will detect the disease when it is not present is P(test pos|no D)= 0.05. The probability that a randomly chosen woman who has this test will both have the disease AND test positive for it is 0.0001848; the probability that she will both be free of the disease and test positive for it (a false positive) is 0.0499895. Complete parts a and b below. a. A test result was randomly chosen. The test result was positive. What is the probability that the woman who had this test has the disease? (Type an integer or decimal rounded to four decimal places as needed.)
About 21 women in 100,000 have a certain disease (D), so P(D) = 0.00021 and P(no D) = 0.99979. The chance that a test will detect the disease when it is present is P(test pos|D) = 0.88. The chance that a test will detect the disease when it is not present is P(test pos|no D)= 0.05. The probability that a randomly chosen woman who has this test will both have the disease AND test positive for it is 0.0001848; the probability that she will both be free of the disease and test positive for it (a false positive) is 0.0499895. Complete parts a and b below. a. A test result was randomly chosen. The test result was positive. What is the probability that the woman who had this test has the disease? (Type an integer or decimal rounded to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:About 21 women in 100,000 have a certain disease (D), so P(D) = 0.00021 and P(no D) = 0.99979. The chance that a
test will detect the disease when it is present is P(test pos|D) = 0.88. The chance that a test will detect the disease when
it is not present is P(test pos|no D) = 0.05. The probability that a randomly chosen woman who has this test will both
have the disease AND test positive for it is 0.0001848; the probability that she will both be free of the disease and test
positive for it (a false positive) is 0.0499895. Complete parts a and b below.
a. A test result was randomly chosen. The test result was positive. What is the probability that the woman who had this
test has the disease?
(Type an integer or decimal rounded to four decimal places as needed.)
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