Mathematics
Mathematics, 25.11.2021 14:00, gd9075

A certain brand of automobile tire has a mean life span of 35,000 miles, with a standard deviation of 2,150 miles. Assume the life spans of the tires have a bell-shaped distribution. (a) The life spans of three randomly selected tires are 33,000 miles, 37,000 miles, and 32,000 miles. Find the z-score that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected tires are 32,850 miles, 37,150 miles, and 35,000 miles. Using the Empirical Rule, find the percentile that corresponds to each life span.

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