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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. What are the chances they are actually infected with the virus? (Enter the probability as a decimal rounded to four decimal places.)

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.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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