The lengths of lumber a machine cuts are normally distributedwith a mean of 94 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 94.15 inches? (b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 94.15 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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