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a car service station, there are two service lines. The random variables X and Y are the portions of time that line 1 and line 2 are in use, respectively. The joint probability sity function for (X, Y) is given by f(z, w) = {,." S{(² + y³), 0sx s1;0sy s1 elsewhere. a) If Z=X+Y, the sum of two proportions, find Var(Z) b) Find Cov (X,Y)

a car service station, there are two service lines. The random variables X and Y are the portions of time that line 1 and line 2 are in use, respectively. The joint probability sity function for (X, Y) is given by f(z, w) = {,." S{(² + y³), 0sx s1;0sy s1 elsewhere. a) If Z=X+Y, the sum of two proportions, find Var(Z) b) Find Cov (X,Y)

MATLAB: An Introduction with Applications
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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In a car service station, there are two service lines. The random variables X and Y are the proportions of time that line 1 and line 2 are in use, respectively. The joint probability density function for (X, Y) is given by f(x, y) ={6," S{(r² + y°), 0sx s1;0sy s1 elsewhere. a) If Z=X+Y, the sum of two proportions, find Var(Z) b) Find Cov (X,Y)
Transcribed Image Text:In a car service station, there are two service lines. The random variables X and Y are the proportions of time that line 1 and line 2 are in use, respectively. The joint probability density function for (X, Y) is given by f(x, y) ={6," S{(r² + y°), 0sx s1;0sy s1 elsewhere. a) If Z=X+Y, the sum of two proportions, find Var(Z) b) Find Cov (X,Y)
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