In screening for a covid-19, the probability that a healthy person wrongly gets a positive result is 0.04. The probability that a diseased person wrongly gets a negative result is 0.002. The overall rate of the disease in the population being screened is 1%. If my covid-19 test gives a positive result, what is the probability I actually have the disease?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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In screening for a covid-19, the probability that a healthy person wrongly gets a positive result is 0.04. The probability that a diseased person wrongly gets a negative result is 0.002. The overall rate of the disease in the population being screened is 1%. If my covid-19 test gives a positive result, what is the probability I actually have the disease?

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