The lengths of lumber a machine cuts are normally distributed with a mean of 88 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 88.17 inches? (b) A sample of 43 boards is randomly selected. What is the probability that their mean length is greater than 88.17 inches? (a) The probability is. (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)

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