3. Conditional Probability. Assume that .05 percent of the population is sick with disease X. Doctors can check if a patient with an imperfect test. The test is 95% accurate when a patient has the disease, and 98 % accurate when a patient does not have the disease. If the test says that a patient has the disease, what is the probability that they are actually sick?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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3. Conditional Probability. Assume that .05 percent of the population is sick with disease X.
Doctors can check if a patient with an imperfect test. The test is 95% accurate when a patient
has the disease, and 98 % accurate when a patient does not have the disease. If the test says
that a patient has the disease, what is the probability that they are actually sick?
Transcribed Image Text:3. Conditional Probability. Assume that .05 percent of the population is sick with disease X. Doctors can check if a patient with an imperfect test. The test is 95% accurate when a patient has the disease, and 98 % accurate when a patient does not have the disease. If the test says that a patient has the disease, what is the probability that they are actually sick?
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