# Bivariate density function: Computation of Moments

Random variables x and y have the joint density function

fxy(x,y)={ (a(2x+y)^2)/20 -1 < x < 1 -3 < y < 3}

{ 0 elsewhere }

a)find the value of the constant a

b)find all the second order moments of X and Y

c)what are variances of X and Y

d)what is the correlation coefficient

https://brainmass.com/statistics/probability/bivariate-density-function-computation-moments-284796

#### Solution Preview

Please see the attached file.

ANSWERS

a) Given

Since is a joint pdf

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#### Solution Summary

A bivariate probability density function is given. The first two raw and central moments of both the variables and the correlation coefficient between them are evaluated.

$2.19