6. Suppose that 10% of the patients in a clinic are infected with a virus. Also suppose that when a test for this virus is given, 98% of the patients infected with the virus test positive and 97% of the patients not infected with the virus test negative. a. What is the probability that a patient testing positive for the virus is infected? b. What is the probability that a patient testing positive for the virus is not infected? c. What is the probability that a patient testing negative for the virus is infected? d. What is the probability that a patient testing negative for the virus is not infected?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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6.
Suppose that 10% of the patients in a clinic are infected with a virus. Also
suppose that when a test for this virus is given, 98% of the patients infected with the virus
test positive and 97% of the patients not infected with the virus test negative.
a. What is the probability that a patient testing positive for the virus is infected?
b. What is the probability that a patient testing positive for the virus is not infected?
c. What is the probability that a patient testing negative for the virus is infected?
d. What is the probability that a patient testing negative for the virus is not infected?
Transcribed Image Text:6. Suppose that 10% of the patients in a clinic are infected with a virus. Also suppose that when a test for this virus is given, 98% of the patients infected with the virus test positive and 97% of the patients not infected with the virus test negative. a. What is the probability that a patient testing positive for the virus is infected? b. What is the probability that a patient testing positive for the virus is not infected? c. What is the probability that a patient testing negative for the virus is infected? d. What is the probability that a patient testing negative for the virus is not infected?
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