In a certain community, 8% of all adults over 50 have diabetes. If a doctor in this community correctly diagnoses 2% of all persons without diabetes as having the disease, what is the probability that an adult over 50 diagnosed by this doctor as having diabetes actually has the disease?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
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In a certain community, 8% of all adults over 50
have diabetes. If a doctor in this community
correctly diagnoses 2% of all persons without
diabetes as having the disease, what is the
probability that an adult over 50 diagnosed by
this doctor as having diabetes actually has the
disease?
Transcribed Image Text:In a certain community, 8% of all adults over 50 have diabetes. If a doctor in this community correctly diagnoses 2% of all persons without diabetes as having the disease, what is the probability that an adult over 50 diagnosed by this doctor as having diabetes actually has the disease?
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