Question: Please show complete steps. Exercise 4. (/3) Let T be a triangle with vertices (-1, 0), (1, 0), and (0, 1). Let the random variables

Please show complete steps.

Exercise 4. (/3) Let T be a triangle with vertices (-1, 0), (1, 0), and (0, 1). Let the random variables X and Y be jointly continuous with joint pdf fx,x (x, y) := Cay : (x, y) ET, 0 : ( x , y) & T. (i) Find the value of the constant C. (ii) Are X and Y independent? (iii) Find the marginal pdf of X and the conditional pdf of X given Y = y

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