A medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the test is 0.96. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.03. It is estimated that 95% of the population who take this test do not have the disease. a) Construct a tree diagram for the above information. b) If a test is administered to an individual, what is the probability that the test is positive? c) If a test is administered to an individual is negative, what is the probability that the person actually has the disease
A medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the test is 0.96. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.03. It is estimated that 95% of the population who take this test do not have the disease. a) Construct a tree diagram for the above information. b) If a test is administered to an individual, what is the probability that the test is positive? c) If a test is administered to an individual is negative, what is the probability that the person actually has 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 medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the test is 0.96. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.03. It is estimated that 95% of the population who take this test do not have the disease.
a) Construct a tree diagram for the above information.
b) If a test is administered to an individual, what is the probability that the test is positive?
c) If a test is administered to an individual is negative, what is the probability that the person actually has the disease
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