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The weight of a sophisticated running shoe is normally distributed with a mean of 13...

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The weight of a sophisticated running shoe is normally distributed with a mean of 13 ounces. (a) What must the standard deviation of weight be in order for the company to state that 96% of its shoes weight less than 14 ounces? (b) Suppose that the standard deviation is actually 0.81. If we sample 6 such running shoes, find the probability that exactly 4 of those shoes weigh more than 14 ounces.

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