The laboratory swabtest is 95% effective in detectinga certain infection when is in fact present. Howeverthe test can yield a "false positive" result for 1% of the healthy person tested. Note a false positive is, if a healthy person is tested, then with a probability of 1% the test results will implythe person has the infection. If a 0.5% of the population actually housethat it expects to what is the probability that a person has to it that she'd given the test result is positive?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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What is the posibility in the question given.

The laboratory swabtest is 95% effective in detectinga certain infection when is in fact present.
Howeverthe test can yield a "false positive" result for 1% of the healthy person tested. Note a false
positive is, if a healthy person is tested, then with a probability of 1% the test results will implythe
person has the infection.
If a 0.5% of the population actually housethat it expects to what is the probability that a person has to it
that she'd given the test result is positive?
Transcribed Image Text:The laboratory swabtest is 95% effective in detectinga certain infection when is in fact present. Howeverthe test can yield a "false positive" result for 1% of the healthy person tested. Note a false positive is, if a healthy person is tested, then with a probability of 1% the test results will implythe person has the infection. If a 0.5% of the population actually housethat it expects to what is the probability that a person has to it that she'd given the test result is positive?
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We have to use Bayes theorem to find the probability.

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