Mathematics, 28.10.2020 15:30, shardonnay2160

The lengths of lumber a machine cuts are normally distributed with a mean of 102 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 102.26 inches?
(b) A sample of 40 boards is randomly selected. What is the probability that their mean length is greater than 102.26 inches?

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The lengths of lumber a machine cuts are normally distributed with a mean of 102 inches and a standa...