A blood test indicates the presence of a particular disease 98​% of the time when the disease is actually present. The same test indicates the presence of the disease 0.6​% of the time when the disease is not present. Two percent of the population actually has the disease. Calculate the probability that a person has the​ disease, given that the test indicates the presence of the disease.

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 41E
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A blood test indicates the presence of a particular disease

98​%

of the time when the disease is actually present. The same test indicates the presence of the disease

0.6​%

of the time when the disease is not present.

Two

percent of the population actually has the disease. Calculate the probability that a person has the​ disease, given that the test indicates the presence of the disease.

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