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 88.13 inches?

(b) A sample of 42 boards is randomly selected. What is the probability that their mean length is greater than 88.13 inches?

Part 1

(a) The probability is 0.4142.

(Round to four decimal places as needed.)

Part 2

(b) The probability is enter your response here.