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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

    © BrainMass Inc. brainmass.com June 3, 2020, 11:33 pm ad1c9bdddf
    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

    ...

    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

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