Find the constant a and plot the pdf

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The random vector (X,Y) has the joint PDF f(x,y)= A(x^2+3y ), for (x,y) in the triangular domain (0<x<1, 0<y< 5 x).

In Mathematica:

(a) Find the constant A and plot the PDF

(b) Find the marginal PDFs of the components X and Y

(c) Find the correlation coefficient of X and Y.

Reference no: EM131572689

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