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:   y x 0 1 2 3 0 0.15 0.12 0.11 0.10 1 0.09 0.07 0.05 0.04 2 0.06 0.05 0.04 0.02 3 0.04 0.03 0.02 0.01     Find Cov(X, Y). (Round the final answer to four decimal places. Include a minus sign if necessary.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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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 be the number with too little clearance and let be the number with too much clearance. The joint probability mass function of and is given in the table below:

 

y

x

0

1

2

3

0

0.15

0.12

0.11

0.10

1

0.09

0.07

0.05

0.04

2

0.06

0.05

0.04

0.02

3

0.04

0.03

0.02

0.01

 

 

Find Cov(X, Y). (Round the final answer to four decimal places. Include a minus sign if necessary.)

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