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The average life of a certain type of small motors is 10 years with standard deviation of 2 years . The manufacturer replaces free all

The average life of a certain type of small motors is 10 years with standard deviation of 2 years. The manufacturer replaces free all motors that fail under guarantee .If he is willing to replace only 3 % of the motors that fail, how long a gruantee should he offer? Assume that the lives of the motors follow a normal distribution.

( using z score)

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