In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below: У х 0.15 0.12 0.11 0.10 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 0.02 3 0.04 0.03 0.01 Assume that the cost of repairing an assembly whose clearance is too little is $2, and the cost of repairing an assembly whose clearance is too much is $3. Express the total cost of repairs in terms of X and Y. b. a. Find the mean of the total cost of repairs. Find the standard deviation of the total cost of repairs. C.

In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below: У х 0.15 0.12 0.11 0.10 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 0.02 3 0.04 0.03 0.01 Assume that the cost of repairing an assembly whose clearance is too little is $2, and the cost of repairing an assembly whose clearance is too much is $3. Express the total cost of repairs in terms of X and Y. b. a. Find the mean of the total cost of repairs. Find the standard deviation of the total cost of repairs. C.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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