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 The total number of assemblies that fail to meet specifications is X + Y. Find µx+Y• a. b. Find Ox+Y• Find P(X + Y = 3). 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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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: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
The total number of assemblies that fail to meet specifications is X + Y.
Find µx+Y•
a.
b.
Find Ox+Y•
Find P(X + Y = 3).
C.
Transcribed Image Text:The total number of assemblies that fail to meet specifications is X + Y. Find µx+Y• a. b. Find Ox+Y• Find P(X + Y = 3). C.
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