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 103.16 inches? (b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 103.16 inches?
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 103.16 inches? (b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 103.16 inches?
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 103 inches and a standard deviation of 0.5
inch.
inch.
(a) What is the probability that a randomly selected board cut by the machine has a length greater than 103.16 inches?
(b) A sample of 37 boards is randomly selected. What is the probability that their mean length is greater than 103.16
inches?
inches?
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