Answered: The random variables X and Y have the…

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The random variables X and Y have the joint density: fxy(x,y) = 2-x-y, for 0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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Question

given:
1) find the expected value and variance of X
2) find the covariance of X and Y
3) what is the correlation value of X and Y

The random variables X and Y have the joint density:
fxy(x,y) = 2-x-y, for 0<x<1, 0<y<1
0,
otherwise
For each of the following, please provide your answers in three decimal places:

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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