The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.5 inch. ​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.14 ​inches? ​(b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 105.14 ​inches?   I need help with part b, please!   Question content area bottom Part 1 ​(a) The probability is . 3897.3897. ​(Round to four decimal places as​ needed.) Part 2 ​(b) The probability is enter your response here.

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