Question: Please help me understand what I'm missing here. I'm finding the marginal distribution of X, and my answer (worked out in blue) does not match

Please help me understand what I'm missing here. I'm finding the marginal distribution of X, and my answer (worked out in blue) does not match the real solution (highlighted )

First, let's find the marginal distribution of X. my answer fx(z) = 21x2y' dy . fy (x ) = S 21 x ys dy - 21 ( 12y'dy 21 5 x 2y dy X Real [12 - x5] 21? ANSWER - = x (x1 - 1) = 21 X 2 [4 - 4] = 4. X 2 ( 1 - X4 ) fy ( x ) : * " (1 - x Y )

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