Auto batteries have an average life of 2.7 years. Battery life is normally distributed with a mean of2.7 years and a standard deviation of .3 year. The batteries are warranted to operate for a minimumof 2 years. If a battery fails within the warranty period, it will be replaced with a new battery at nocharge. The company sells and installs the batteries. Also, the usual $5 installation charge will bewaived.a. What percentage of batteries would you expect to fail before the warranty period expires?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Auto batteries have an average life of 2.7 years. Battery life is normally distributed with a mean of
2.7 years and a standard deviation of .3 year. The batteries are warranted to operate for a minimum
of 2 years. If a battery fails within the warranty period, it will be replaced with a new battery at no
charge. The company sells and installs the batteries. Also, the usual $5 installation charge will be
waived.
a. What percentage of batteries would you expect to fail before the warranty period expires?

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