The lengths of lumber a machine cuts are normally distributed with a mean of 9999 inches and a standard deviation of 0.40.4 inch.
​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 99.1899.18 ​inches?
​(b) A sample of 4343 boards is randomly selected. What is the probability that their mean length is greater than 99.1899.18 ​inches?
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Part 1
​(a) The probability is enter your response here.
b) The probability is