(2) Use Bayes' theorem to find the indicated probability. 5.8% of a population is infected with a certain disease. There is a test for the disease, however the test not completely accurate. 93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive? O 0.905 O 0.585 O 0.038 O 0.475
(2) Use Bayes' theorem to find the indicated probability. 5.8% of a population is infected with a certain disease. There is a test for the disease, however the test not completely accurate. 93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive? O 0.905 O 0.585 O 0.038 O 0.475
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Transcribed Image Text:(2) Use Bayes' theorem to find the indicated probability.
5.8% of a population is infected with a certain disease. There is a test for the disease, however the test is not completely accurate.
93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false
positives). A person is randomly selected and tested for the disease.
What is the probability that the person has the disease given that the test result is positive?
O 0.905
O 0.585
0.038
O 0.475
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