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 2 3 х 0.15 0.12 0.11 0.10 0.09 0.07 0.05 0.04 0.05 2 0.06 0.04 0.02 0.03 3 0.04 0.02 0.01 Find the marginal probability mass function of X. Find the marginal probability mass function of Y. Are X and Y independent? Explain. Find µx a. b. c. d. and Hy. Find Ox and Oy. e. Find Cov(X, Y). Find p(X, Y). f. g.
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 2 3 х 0.15 0.12 0.11 0.10 0.09 0.07 0.05 0.04 0.05 2 0.06 0.04 0.02 0.03 3 0.04 0.02 0.01 Find the marginal probability mass function of X. Find the marginal probability mass function of Y. Are X and Y independent? Explain. Find µx a. b. c. d. and Hy. Find Ox and Oy. e. Find Cov(X, Y). Find p(X, Y). f. g.
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:
y
2
3
х
0.15
0.12
0.11
0.10
0.09
0.07
0.05
0.04
0.05
2
0.06
0.04
0.02
0.03
3
0.04
0.02
0.01
Find the marginal probability mass function of X.
Find the marginal probability mass function of Y.
Are X and Y independent? Explain.
Find µx
a.
b.
c.
d.
and
Hy.
Find Ox
and
Oy.
e.
Find Cov(X, Y).
Find p(X, Y).
f.
g.
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