Researchers at the University of Rochester studied the friction that occurs in the paper feeding process of

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Researchers at the University of Rochester studied the friction that occurs in the paper feeding process of a photocopier (Journal of Engineering for Industry, May 1993). The coefficient of friction is a proportion that measures the degree of friction between two adjacent sheets of paper in the feeder stack. In one experiment, a triangular distribution was used to model the friction coefficient, Y. (See the accompanying figure.)

The density function for the triangular friction distribution is given by

where c > 0.

a. Show that

b. Find the mean of the triangular friction distribution.

c. Find the variance of the triangular friction distribution.

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Related Book For  answer-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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