A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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A blood test indicates the presence of a particular disease 99% of the time when the disease is actually present. The
same test indicates the presence of the disease 0.5% of the time when the disease is not present. Four 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.
Choose the correct answer below.
A. 0.99
B. 0.892
OC. 0.98
D. 0.042
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Transcribed Image Text:A blood test indicates the presence of a particular disease 99% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not present. Four 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. Choose the correct answer below. A. 0.99 B. 0.892 OC. 0.98 D. 0.042
Expert Solution
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Step 1: Given information

The provided information is as follows:
The probability of having the disease is 4%.
The probability of the test indicating the presence of the disease given that the disease is actually present is 99%.
The probability of the test indicating the presence of the disease given that the disease is not present is 0.5%.

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