Problem #3: The weight of a sophisticated running shoe is normally distributed with a mean of 14 ounces. Problem #3(a): (a) What must the standard deviation of weight be in order for the company to state that 97% of its shoes weight less than 15 ounces? (b) Suppose that the standard deviation is actually 0.82. If we sample 9 such running shoes, find the probability that exactly 2 of those shoes weigh more than 15 ounces.

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