The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the...

Extracted text: The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 106.09 inches? (b) A sample of 45 boards is randomly selected. What is the probability that their mean length is greater than 106.09 inches? (a) The probability is . (Round to four decimal places as needed.) Get more help- Clear all Check answer