A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. Five such tires

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answerhappygod
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A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. Five such tires

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A prototype automotive tire has a design life of 38,500 miles
with a standard deviation of 2,500 miles. Five such tires are
manufactured and tested. On the assumption that the actual
population mean is 38,500 miles and the actual population standard
deviation is 2,500 miles, find the probability that the sample mean
will be less than 36,000 miles. Assume that the distribution of
lifetimes of such tires is normal.
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