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A bivariate random vector (X, Y) has the following density: f X, Y (x, y) = (c-6x-6y+4xy)/4, if 0

A bivariate random vector (X, Y) has the following density:

fX, Y(x, y) = (c-6x-6y+4xy)/4, if 0x,Y(x, y) = 0 otherwise.

(a): Find the value of c

(b): Calculate the marginal density of X and Y

(c): Are X, Y independent?

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