The lengths of lumber a machine cuts are normally distributed with a mean of 93 inches and a standard deviation of 0.7 inch.

(a) What is the probability that a randomly selected board cut by the machine has a length greater than 93.29 inches?

(b) A sample of 38 boards is randomly selected. What is the probability that their mean length is greater than 93.29 inches?

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Part 1

(a) The probability is ?

(Round to four decimal places as needed.)

Part 2

(b) The probability is ?

(Round to four decimal places as needed.)