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(20 points) The annual per capita consumption of fresh apples (in pounds) in the United States can be approximated by a normal distribution, with a

(20 points) The annual per capita consumption of fresh apples (in pounds) in the United States can be approximated by a normal distribution, with a mean of 16.2 pounds and a standard deviation of 4 pounds. (Adapted from U.S. Department of Agriculture) (a) What is the largest annual per capita consumption of apples that can be in the bottom 15.15% of consumptions? (b) What is the smallest annual per capita consumption of apples that can be in the top 10% of consumptions?

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