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The average life of an electric scooter is 12 years with a standard deviation of 1.5 years. The manufacturer replaces for free all scooters that

The average life of an electric scooter is 12 years with a standard deviation of 1.5 years. The manufacturer replaces for free all scooters that fail while under a guarantee. If she is willing to replace 3.0% of the scooters that fail, how long of a guarantee (in years) should she offer? You may assume that the lives of the scooters are normally distributed.

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