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7) Assume the widths of people's feet are normally distributed with a mean of 3.8 inches and a standard deviation of 0.45 inches. (12 pts)

7) Assume the widths of people's feet are normally distributed with a mean of 3.8 inches and a standard deviation of 0.45 inches. (12 pts) a) Find the probability the width of one randomly selected person's foot is less than 3.6 inches. b) Find the probability the mean width of 30 randomly selected people's feet is less than 3.6 inches. c) Find the probability the mean width of 50 randomly selected people's feet is less than 3.6 inches. d) Find the probability the mean width of 100 randomly selected people's feet is less than 3.6 inches.

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