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? (8 points)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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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? (8 points)
Transcribed Image Text: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? (8 points)
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