Problem # 3 ( 25 pts) The lengths of lumber a machine cuts are normally distributed, with a mean of 96 inches and a standard deviation of 0.5 inch. (Hint: Pay attention to the difference in the two questions and decide which method to use). a) What is the probability that a randomly selected board cut by the machine has a length greater than 96.25 inches?b) You randomly select 40 boards. What is the probability that their mean length is greater than 96.25 inches