The mean life of a certain ball bearing can be modeled using a normal distribution with a mean of six years and a standard deviation of one year. Determine each of the following:a. The probability that a ball bearing will wear out before seven years of service.b. The probability that a ball bearing will wear out after seven years of service (i.e., find its reliability).c. The service life that will provide a wear-out probability of 10 percent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The mean life of a certain ball bearing can be modeled using a normal distribution with a mean of six years and a standard deviation of one year. Determine each of the following:
a. The probability that a ball bearing will wear out before seven years of service.
b. The probability that a ball bearing will wear out after seven years of service (i.e., find its reliability).
c. The service life that will provide a wear-out probability of 10 percent.

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