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 0.5% of the time when the disease is not present. One 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.
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 0.5% of the time when the disease is not present. One 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
0.5%
of the time when the disease is not present.
One
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.Expert Solution
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