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The lengths of lumber a machine cuts are normally distributed with a mean of 103 inches and a standard deviation of 0.5 inch. (a) What

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

103

inches and a standard deviation of

0.5

inch.

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

103.15

inches?

(b) A sample of

45

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

103.15

inches?

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