The annual per capita (average per person) chewing gum consumption in the United States is 200...

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The annual per capita (average per person) chewing gumconsumption in the United States is 200 pieces. Suppose that thestandard deviation of per capita consumption of chewing gum is 145pieces per year.

(a) Find the probability that the average annual chewing gumconsumption of 84 randomly selected Americans is more than 220pieces.

(b) Find the probability that the average annual chewing gumconsumption of 84 randomly selected Americans is within 100 piecesof the population mean.

(c) Find the probability that the average annual chewing gumconsumption of 16 randomly selected Americans is less than 100pieces.

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