In a database describing 100 examples of printer failures, 75 are hardware failures and 25 are driver failures. Of the hardware failures, 15 had Windows. Of the driver failures, 15 had Windows. If the probability of a driver failure is 25/100, the probability that the system where a failure occurred was Windows is 30/100 and the probability of a failure in the Windows system given it has been caused by the driver is 15/25, what is the probability that a failure has been caused by a driver knowing that the system is Windows?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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In a database describing 100 examples of printer failures, 75 are hardware failures and 25 are driver failures. Of the hardware failures, 15 had Windows. Of the driver failures, 15 had Windows.
If the probability of a driver failure is 25/100, the probability that the system where a failure occurred was Windows is 30/100 and the probability of a failure in the Windows system given it has been caused by the driver is
15/25, what is the probability that a failure has been caused by a driver knowing that the system is Windows?
Transcribed Image Text:In a database describing 100 examples of printer failures, 75 are hardware failures and 25 are driver failures. Of the hardware failures, 15 had Windows. Of the driver failures, 15 had Windows. If the probability of a driver failure is 25/100, the probability that the system where a failure occurred was Windows is 30/100 and the probability of a failure in the Windows system given it has been caused by the driver is 15/25, what is the probability that a failure has been caused by a driver knowing that the system is Windows?
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