J) use your answer in i to find E[Y] and Var[Y] 1. Suppose X and Y are jointly distributed with pdf fx,y(x, y), wherefx,y (x, y) = = e-(x−y)² e-x²TTNote thatfx(x) = √²/e-(x−y) ²e-x² dy.TT h. By completing the square, re-express fx,y (x, y) in the formfx,y(x, y) = e-(ax-by)² e−cy²,TTWhere a, b, c are constants. Note the difference between this expression andthe original expression is that the second factor in this expression is afunction of y and not of x.i. Find fy (y) using a technique similar to that you used in a.

Suppose X and Y are jointly distributed with pdf where .

h. By completing the square, re-express fx,y (x, y) in the form fx,y(x, y) = e-(ax-by)² e-cy², Where a, b, c are constants. Note the difference between this expression and the original expression is that the second factor in this expression is a function of y and not of x. i. Find fy (y) using a technique similar to that you used in a.