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.
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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Transcribed Image Text: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
Transcribed Image Text: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.
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