The transmission on a model of a specific car has a warranty for 40,000 miles. It is known that the life of such a transmission has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles. What percentage of the transmissions will fail before the end of the warranty period? 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
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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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The transmission on a model of a specific car has a warranty for 40,000 miles. It is known that the life of such
a transmission has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles.
• What percentage of the transmissions will fail before the end of the warranty period?
• What percentage of the transmission will be good for more than 100,000 miles?
Transcribed Image Text:The transmission on a model of a specific car has a warranty for 40,000 miles. It is known that the life of such a transmission has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles. • What percentage of the transmissions will fail before the end of the warranty period? • What percentage of the transmission will be good for more than 100,000 miles?
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