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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 0.4 inch.(a) What is

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

inches and a standard deviation of

0.4

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

89.16

inches?(b) A sample of

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

89.16

inches?

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