The state medical school has discovered a new test for tuberculosis. Experimentation with this new test has shown that the probability of a positive test result for tuberculosis when a person actually has it is 0.82. The probability of a false positive test result is 0.09. It is presumed that 4% of the population has tuberculosis. If a person is chosen at random, what is the probability that he/she a.) has tuberculosis and a positive test? b.) has a positive test and does not have tuberculosis? c,) tests negative for tuberculosis?
The state medical school has discovered a new test for tuberculosis. Experimentation with this new test has shown that the probability of a positive test result for tuberculosis when a person actually has it is 0.82. The probability of a false positive test result is 0.09. It is presumed that 4% of the population has tuberculosis. If a person is chosen at random, what is the probability that he/she a.) has tuberculosis and a positive test? b.) has a positive test and does not have tuberculosis? c,) tests negative for tuberculosis?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The state medical school has discovered a new test for tuberculosis. Experimentation with this new test has shown that the probability of a positive test result for tuberculosis when a person actually has it is 0.82. The probability of a false positive test result is 0.09. It is presumed that 4% of the population has tuberculosis. If a person is chosen at random, what is the probability that he/she
a.) has tuberculosis and a positive test?
b.) has a positive test and does not have tuberculosis?
c,) tests negative for tuberculosis?
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