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3. A particular brand of bottled water sells 500ml bottles of water. Of course, not every bottle has EXACTLY 500ml of water due to

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3. A particular brand of bottled water sells 500ml bottles of water. Of course, not every bottle has EXACTLY 500ml of water due to variation. Suppose the standard deviation of the amount of water is 6ml. In a case of 24 bottles, what is the probability that the average amount of water of 24 bottles is less than 497ml of water? What is the probability that the average amount of 24 bottles is more than 502 ml? (Hint: CLT)

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