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The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a standard deviation of 0.6 inch. (a)

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The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 88.22 inches? (b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 88.22 inches?

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