Consider the joint probability density function shown below: fx.y(x, y) = 2/3 3 X 21 y= a) Find Fx,y(x, y). b) Find the marginal fy(y). c) Find E[X|Y = y]. (Note that the equation for the line is y = 3x and fx,y(x, y) is 2/3 for 0≤3x≤y≤3) Fxy (x) = f (x). fy (y) 2

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