# Problem 6: The weight of a sophisticated running shoe is normally distributed with a mean of...

###### Question:

Problem 6: The weight of a sophisticated running shoe is normally distributed with a mean of 14 ounces. (a) What must the standard deviation of weight be in order for the company to state that 95% of its shoes weight less than 15 ounces? (b) Suppose that the standard deviation is actually 0.83. If we sample 8 such running shoes, find the probability that exactly 4 of those shoes weigh more than 15 ounces. Problem 6(a): Round your answer to 2 decimals. Problem 6(b): Round your answer to 4 decimals.

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