A certain virus infects 1 in every 200 people. A detection test is 95.8% effective at detecting the virus. Unfortunately, it has a false positive rate of 4.3%. A friend of yours has just tested positive for the virus. What are the chances they are actually infected with the virus? (Enter the probability as a decimal rounded to four decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A certain virus infects 1 in every 200 people. A detection test is 95.8% effective at detecting the virus. Unfortunately, it has a false positive rate
of 4.3%. A friend of yours has just tested positive for the virus. Wwhat are the chances they are actually infected with the virus? (Enter the
probability as a decimal rounded to four decimal places.)
Transcribed Image Text:A certain virus infects 1 in every 200 people. A detection test is 95.8% effective at detecting the virus. Unfortunately, it has a false positive rate of 4.3%. A friend of yours has just tested positive for the virus. Wwhat are the chances they are actually infected with the virus? (Enter the probability as a decimal rounded to four decimal places.)
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