The lengths of lumber a machine cuts are normally distributedwith a mean of 94 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 94.15 inches? (b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 94.15 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The lengths of lumber a machine cuts are normally distributedtwith a mean of 94 inches and a standard deviation of 0.6 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 94.15 inches?
(b) A sample of 37 boards is randomly selected. What
the probability that their mean length is greater than 94.15 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 distributedtwith a mean of 94 inches and a standard deviation of 0.6 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 94.15 inches? (b) A sample of 37 boards is randomly selected. What the probability that their mean length is greater than 94.15 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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