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Is hoticed that the probability that the test detects an infected = 80%. Use Baeye's rule to calculate the probability that a system is infected if this test indicates so (a

Is hoticed that the probability that the test detects an infected = 80%. Use Baeye's rule to calculate the probability that a system is infected if this test indicates so (a

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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QUESTION 7 A virus is known to infect a system with probability 60%. A new antivirus is designed for this threat, and it is tested on a number of systems. It is noticed that the probability that the test detects an infected system is 90%, and the probability that it correctly shows negative when a system is not infected is 80%. Use Baeye's rule to calculate the probability that a system is infected if this test indicates so (a positive test). Enter your answer here as a decimal 0.xx (do not enter more than two decimals, and do not enter less; truncate to the first two decimals and don't round up or down)
Transcribed Image Text:QUESTION 7 A virus is known to infect a system with probability 60%. A new antivirus is designed for this threat, and it is tested on a number of systems. It is noticed that the probability that the test detects an infected system is 90%, and the probability that it correctly shows negative when a system is not infected is 80%. Use Baeye's rule to calculate the probability that a system is infected if this test indicates so (a positive test). Enter your answer here as a decimal 0.xx (do not enter more than two decimals, and do not enter less; truncate to the first two decimals and don't round up or down)
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