40,000 miles is the warranty period for the gearbox on a certain model of automobile. In the case of such transmissions, it is well known that the life span has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles. The following questions are being asked: (a) What percentage of the transmission will fail before the end of the warranty term; and (b) What percentage of the transmission will be good for more than 100,000 miles.

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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40,000 miles is the warranty period for the gearbox on a certain model of automobile. In the case of such transmissions, it is well known that the life span has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles.

The following questions are being asked: (a) What percentage of the transmission will fail before the end of the warranty term; and (b) What percentage of the transmission will be good for more than 100,000 miles.

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