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The lengths of lumber a machine cuts are normally distributed with a mean of 89 inches and a standard deviation of 0.7 inch. (a) What

The lengths of lumber a machine cuts are normally distributed with a mean of

89 inches and a standard deviation of 0.7 inch.

(a) What is the probability that a randomly selected board cut by the machine has a length greater than

89.24 inches?

(b) A sample of

37 boards is randomly selected. What is the probability that their mean length is greater than

89.24 inches?

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