Let X and Y be jointly continuous random variables with joint PDF f X , Y ( x , y ) = { 6 x y ,   0 ≤ x ≤ 1 ,     0 ≤ y ≤ square root of x                            0 ,                       o t h e r w i s e .   Then the marginal PDF f X ( x ) = { A ,           0 ≤ x ≤ 1 ,                    0 ,             o t h e r w i s e . Find the function A.

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A: Solution

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A: Answer is 1/9.

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Q: Let X and Y be jointly continuous random variables with joint PDF f X , Y ( x , y ) = { 6 x y ,…

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