Mathematics, 12.01.2021 05:50, shafferakr6

The lengths of lumber a machine cuts are normally distributed with a mean of 92 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 92.14 inches?
(b) A sample 39 of boards is randomly selected. What is the probability that their mean length is greater than 92.14 inches?

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The lengths of lumber a machine cuts are normally distributed with a mean of 92 inches and a standar...