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The lengths of lumber a machine cuts are normally distributed with a mean of 94 inches and a standard deviation of 0.5 inch.(a) What is

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

94

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

94.21

inches?(b) A sample of

45

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

94.21

inches?

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