Cars are being produced by two factories, but factory 1 is known to produce twice as many cars as factory 2 in a given time. Factory 1 is known to produce 2% defective and factory 2 produce 1% defective. A car is examined and found to be defective. What is the probability that the car was produced by factory 1?

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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Cars are being produced by two factories, but factory 1 is known
to produce twice as many cars as factory 2 in a given time.
Factory 1 is known to produce 2% defective and factory 2
produce 1% defective. A car is examined and found to be
defective. What is the probability that the car was produced by
factory 1?
Transcribed Image Text:Cars are being produced by two factories, but factory 1 is known to produce twice as many cars as factory 2 in a given time. Factory 1 is known to produce 2% defective and factory 2 produce 1% defective. A car is examined and found to be defective. What is the probability that the car was produced by factory 1?
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