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 35 boards is randomly selected. What is the probability that their mean length is greater than 24 inches?(a) The probability is enter your response here. (Round to four decimal places as needed.)

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 35 boards is randomly selected. What is the probability that their mean length is greater than 24 inches?(a) The probability is enter your response here. (Round to four decimal places as needed.)