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The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches and a standard deviation of 0.6 inch. (a) What

The lengths of lumber a machine cuts are normally distributed with a mean of 99 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 99.21 inches?

(b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 99.21 inches?

(a) The probability is

.

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