The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches anda standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 99.13 inches? (b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 99.13 inches? ..... (a) The probability is (Round to four decimal places as needed.) ntents Resources Success Question Viewer Success edia Library Check Answer Clear All Exomple Get More Help -

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches anda standard deviation of 0.4 inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 99.13 inches?
(b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 99.13 inches?
(a) The probability is
(Round to four decimal places as needed.)
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Transcribed Image Text:The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches anda standard deviation of 0.4 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 99.13 inches? (b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 99.13 inches? (a) The probability is (Round to four decimal places as needed.) ntents Resources Success Question Viewer Success dia Library Clear All Check Answer View an Example Get More Help- Help Me Solve This se Options sions 87°F P Type here to search
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