A sample of 36 tires revealed a mean useful life for these ABC tires of 50,000 miles, and the standard deviation is known to be 5,000 miles. (Assume a normally distributed population). 

A) How many miles should the tire maker warranty its tires for if it is willing to warranty only 3% of tires? 

B) If further testing were to omit the most durable 5% of tires and the least durable 5% of tires. The testing limits would lie between what two points? 

C) How many miles would you expect the least durable 10% to last?

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