8* A medical researcher estimates that 2% of a population is infected with a rare disease which for this problem we will assume is accurate. The procedure used for testing for this disease is 90% accurate. So, if one has the disease, the test will indicate that 90% of the time, and if the person doesn't have the disease, the test will indicate that 90% of the time. Of course, what this means is that the test will give a false positive result 10% of the time. If a person is picked at random and tested: (a) What is the probability that the person tests positive? (b) What is the probability that if a person tested positive for the disease he or she actually had the disease?
8* A medical researcher estimates that 2% of a population is infected with a rare disease which for this problem we will assume is accurate. The procedure used for testing for this disease is 90% accurate. So, if one has the disease, the test will indicate that 90% of the time, and if the person doesn't have the disease, the test will indicate that 90% of the time. Of course, what this means is that the test will give a false positive result 10% of the time. If a person is picked at random and tested: (a) What is the probability that the person tests positive? (b) What is the probability that if a person tested positive for the disease he or she actually had 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.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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