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Question: showing work includes but is not limited to formulas graphs...

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Showing work includes, but is not limited to: formulas, graphs and calculations. If you use the web calculator, StatCrunch, Minitab, Excel, Table V, etc… to find your probabilities, you must include your output with your answer.

The tread life of a type of tire produced by Tough Tires is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1500 miles. (22 points)

i) What percentage of this type of tire will last between 56,855 miles and 57,310 miles?

ii) If the owner of Tough Tires is willing to replace 1.5% of tires that wear out, what should the warranty be for the number of miles the tire should last?

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