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

Question

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).

Quizplus · Accepted Answer

The Answer of 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).

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