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 96.32 inches? (b) A sample of 38 boards is randomly selected. What is the probability that their mean length is greater than 96.32 inches? .... (a) The probability is . (Round to four decimal places as needed.) (b) The probability is- (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
96.32 inches?
(b) A sample of 38 boards is randomly selected. What is the probability that their mean length is greater
than 96.32 inches?
(a) The probability is .
(Round to four decimal places as needed.)
(b) The probability is.
(Round to four decimal places as needed.)
Transcribed Image Text: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 96.32 inches? (b) A sample of 38 boards is randomly selected. What is the probability that their mean length is greater than 96.32 inches? (a) The probability is . (Round to four decimal places as needed.) (b) The probability is. (Round to four decimal places as needed.)
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