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Mathematics, 03.11.2020 18:20 kharmaculpepper

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 oz and standard deviation 0.2 oz. (a) What is the probability that a randomly selected bottle contains a volume less than 12 oz?
(b) What is the probability that the mean volume of a random sample of 49 bottles is less than 12 oz?

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