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 Y ( y ) = { B ,           0 ≤ y ≤ 1 ,                    0 ,             o t h e r w i s e . Find the function B. (a) 3 y (b) 3 y2 (c) 3 y ( 1 − y2) (d) 3 y ( 1 − y4 )

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