A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a “positive” result. If a patient does not have the disease, the test should return a “negative” result. No test is perfect though. 99% of patients who have the disease will test positive. 5% of the patients who don’t have the disease will also test positive. 10% of the population in question has the disease. If a random patient tests positive,
A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a “positive” result. If a patient does not have the disease, the test should return a “negative” result. No test is perfect though. 99% of patients who have the disease will test positive. 5% of the patients who don’t have the disease will also test positive. 10% of the population in question has the disease. If a random patient tests positive,
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a “positive” result. If a patient does not have the disease, the test should return a “negative” result. No test is perfect though.
- 99% of patients who have the disease will test positive.
- 5% of the patients who don’t have the disease will also test positive.
- 10% of the population in question has the disease.
If a random patient tests positive, what is the probability that they have the disease?
a.Find the probability that a randomly selected patient has the disease AND tests positive?
b.Find the probability that a random patient tests positive.
c.If a random patient tests positive, what is the probability that they have the disease?
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