Let X, Y, and Z Be Random Variables with Joint

Short Answer

Let X, Y, and Z be random variables with joint probability density function $f ( x , y , z ) = \left\{ \begin{array} { l l } 54 x ^ { 2 } y ^ { 2 } z ^ { 2 } & 0 < y , z < 1,0 < x < y \\0 & \text { else. }\end{array} \right.$ Find ρ(X,Y).