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In: Statistics and Probability

A tire company finds the lifespan for one brand of its tires is normally distributed with...

A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of 48,400 miles and a standard deviation of 5000 miles.

If the manufacturer is willing to replace no more than 10% of the tires, what should be the approximate number of miles for a warranty?

What is the probability that a tire will last more than 52,000 miles?  

What is the probability that a mean of 25 tires will last less than 47,000 miles?

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