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Bivariate density function: Computation of Moments

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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

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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.

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Please see the attached file.

ANSWERS
a) Given
Since is a joint pdf

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