Note that 5% of the population suffers from a particular disease. There is a diagnostic test to identify this disease. If a person who has the disease undergoes the test, 99% the test becomes positive. Similarly, if a person who does not have this disease undergoes this test, 5% the time the test becomes positive. If a randomly selected person undergoes this test and the test becomes positive, what is the probability that he actually has the disease? Enter your answer to the nearest FOUR decimal places.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Note that 5% of the population suffers from a
particular disease. There is a diagnostic test to
identify this disease. If a person who has the
disease undergoes the test, 99% the test
becomes positive. Similarly, if a person who
does not have this disease undergoes this test,
5% the time the test becomes positive.
If a randomly selected person undergoes this
test and the test becomes positive, what is the
probability that he actually has the disease?
Enter your answer to the nearest FOUR
decimal places.
Transcribed Image Text:Note that 5% of the population suffers from a particular disease. There is a diagnostic test to identify this disease. If a person who has the disease undergoes the test, 99% the test becomes positive. Similarly, if a person who does not have this disease undergoes this test, 5% the time the test becomes positive. If a randomly selected person undergoes this test and the test becomes positive, what is the probability that he actually has the disease? Enter your answer to the nearest FOUR decimal places.
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