Rework problem 20 from section 3.4 of your text, involving silver rental cars with navigation systems. Assume that the car lot contains 20 percent Lincolns, 55 percent Corvettes, and 25 percent BMWs. Of the Lincolns, 40 percent have navigation systems, 20 percent of the Corvettes have navigation systems, and 30 percent of the BMWs have navigation systems. Furthermore, 70 percent of the Lincolns, 40 percent of the Corvettes, and 60 percent of the BMWs are silver. The property of being silver is independent from having a navigation system. You are assigned a car at random. If the car has a navigation system and is silver, what is the probability that it is a Lincoln?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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Rework problem 20 from section 3.4 of your text, involving silver rental cars with navigation systems. Assume that the car lot contains 20 percent Lincolns, 55 percent Corvettes, and 25 percent BMWs. Of the Lincolns, 40 percent have navigation systems, 20 percent of the Corvettes have navigation systems, and 30 percent of the BMWs have navigation systems. Furthermore, 70 percent of the Lincolns, 40 percent of the Corvettes, and 60 percent of the BMWs are silver. The property of being silver is independent from having a navigation system. You are assigned a car at random.

If the car has a navigation system and is silver, what is the probability that it is a Lincoln?

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