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The International Bottled Water Association says that Americans on the average drink 4.6 (8-oz.) servings of water a day. Assume that the number of 8-oz. servings of water is approximately normally distributed with a standard deviation of 1.5 servings. (Give your answers correct to four decimal places.)

(a) What proportion of Americans drink more than the recommended 8 servings?

(b) What proportion of Americans drink less than half the recommended 8 servings?

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