Let X and Y Have Joint Probability Density Function Find the Marginal Probability Density Functions of X and Y

Essay

Let X and Y have joint probability density function $f ( x , y ) = \left\{ \begin{array} { l l } \frac { 4 } { 11 } \left( 2 x + y ^ { 2 } \right) & 1 < x < 2 , x < y < 2 \\0 & \text { elsewhere }\end{array} \right.$ Find the marginal probability density functions of X and Y and P(0<(Y-X)/(1-x)<2).