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.
