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The lengths of lumber a machine cuts are normally distributed with a mean of 103 inches and a standard deviation of 0.5 inch. (a) What
The lengths of lumber a machine cuts are normally distributed with a mean of
103
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
103.15
inches?
(b) A sample of
45
boards is randomly selected. What is the probability that their mean length is greater than
103.15
inches?
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