The lengths of lumber a machine cuts are normally distributed with a mean of 93 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the...

The lengths of lumber a machine cuts are normally distributed with a mean of 93 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 93.27 inches?

(b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 93.27 inches?

Jun 08, 2022

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