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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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