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A factory produces (cylindrically shaped) roller bearings that are sold as having diameter 4.0 cm and length 6.0 cm. In fact, the diameters X are normally distrib uted with mean 4.0 cm and standard deviation 0.01 cm while the lengths Yare normally distributed with mean 6.0 cm and standard deviation 0.01 cm. Assuming that X and Yare independent, write the joint density function and graph it. Find the probability that a bearing randomly chosen from the production line has either length or diameter that differs from the mean by more than 0.02 cm.

A factory produces (cylindrically shaped) roller bearings that are sold as having diameter 4.0 cm and length 6.0 cm. In fact, the diameters X are normally distrib uted with mean 4.0 cm and standard deviation 0.01 cm while the lengths Yare normally distributed with mean 6.0 cm and standard deviation 0.01 cm. Assuming that X and Yare independent, write the joint density function and graph it. Find the probability that a bearing randomly chosen from the production line has either length or diameter that differs from the mean by more than 0.02 cm.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A factory produces (cylindrically shaped) roller bearings that are sold as having diameter 4.0 cm and length 6.0 cm. In fact, the diameters X are normally distrib uted with mean 4.0 cm and standard deviation 0.01 cm while the lengths Yare normally distributed with mean 6.0 cm and standard deviation 0.01 cm. Assuming that X and Yare independent, write the joint density function and graph it. Find the probability that a bearing randomly chosen from the production line has either length or diameter that differs from the mean by more than 0.02 cm.

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