The lengths of lumber a machine cuts are normally distributed with a mean of 101 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 101.24 inches? (b) A sample of 40 boards is randomly selected. What is the probability that their mean length is greater than 101.24 inches? (a) The probability is 1 (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)