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The lengths of lumber a machine cuts are normally distributed with a mean of 104 inches...

The lengths of lumber a machine cuts are normally distributed with a mean of 104 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 104.16 ​inches? ​(b) A sample of 41 boards is randomly selected. What is the probability that their mean length is greater than 104.16 ​inches?

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