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Tires A tire manufacturer believes that thetreadlifeof its snowtires can be described by a Normal model with a mean of32,000 miles and standard deviation of

Tires A tire manufacturer believes that thetreadlifeof its snowtires can be described by a Normal model with a mean of32,000 miles and standard deviation of 2500 miles.

a) If you buy one of these tires, would it be reasonable for youto hope it will last 40,000 miles? Explain.

b) Approximately what fraction of these tires can be expectedto last less than 30,000miles?

c) Approximately what fraction of these tires can be expectedto last between 30,000 and 35,000 miles?

d) Estimate the IQR of thetreadlives.

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