1. Suppose 0.1% of a population is infected with a certain disease. On a medical test 98% of those infected give a positive result, while 1% of those not infected give a positive result. For a randomly chosen person from this population: (a) What is the probability that he/she does not have the disease? (b) What is the probability that he/she tests positive? (c) If a randomly chosen person is tested and gives a positive result, what is the proba- bility that the person actually has the disease?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1. Suppose 0.1% of a population is infected with a certain disease. On a medical test 98% of
those infected give a positive result, while 1% of those not infected give a positive result.
For a randomly chosen person from this population:
(a) What is the probability that he/she does not have the disease?
(b) What is the probability that he/she tests positive?
(c) If a randomly chosen person is tested and gives a positive result, what is the proba-
bility that the person actually has the disease?
Transcribed Image Text:1. Suppose 0.1% of a population is infected with a certain disease. On a medical test 98% of those infected give a positive result, while 1% of those not infected give a positive result. For a randomly chosen person from this population: (a) What is the probability that he/she does not have the disease? (b) What is the probability that he/she tests positive? (c) If a randomly chosen person is tested and gives a positive result, what is the proba- bility that the person actually has the disease?
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