It is known that 2% of all tests for the COVID-19 virus are positive. Out of the 50 people with Covid-19, 80% of them will have a positive test result. Out of 2450 people without Covid-19, 100% of them will have a negative test result. If a random individual out of 2500 is tested, a. What is the probability that he/she tests negative?(Round your answers to three decimal places.) b. If it is known that the individual tests negative, what is the probability that he/she has carries the Covid-19 virus?(Round your answers to three decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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It is known that 2% of all tests for the COVID-19 virus are positive. Out of the 50 people with Covid-19, 80% of them will have a positive test result. Out of 2450 people
without Covid-19, 100% of them will have a negative test result. If a random individual out of 2500 is tested,
a. What is the probability that he/she tests negative?(Round your answers to three decimal places.)
b. If it is known that the individual tests negative, what is the probability that he/she has carries the Covid-19 virus?(Round your answers to three decimal places.)
Transcribed Image Text:It is known that 2% of all tests for the COVID-19 virus are positive. Out of the 50 people with Covid-19, 80% of them will have a positive test result. Out of 2450 people without Covid-19, 100% of them will have a negative test result. If a random individual out of 2500 is tested, a. What is the probability that he/she tests negative?(Round your answers to three decimal places.) b. If it is known that the individual tests negative, what is the probability that he/she has carries the Covid-19 virus?(Round your answers to three decimal places.)
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