(5.4) Q5

The lengths of lumber a machine cuts are normally distributed with a mean of

96

inches and a standard deviation of

0.7

inch.

(a) What is the probability that a randomly selected board cut by the machine has a length greater than

96.29

inches?

(b) A sample of

37

boards is randomly selected. What is the probability that their mean length is greater than

96.29

inches?

Question content area bottom

Part 1

(a) The probability is

enter your response here.

(Round to four decimal places as needed.)