Find the condition on the non-negative constants a and b for p(x, y)to be a joint density function, where $p ( x , y ) = \left\{ \begin{array} { c c }
a x + b y & \text { if } 0 \leq x \leq 6,0 \leq y \leq 6 \
0 & \text { otherwise }
\end{array} \right.$

Question

Find the condition on the non-negative constants a and b for p(x, y)to be a joint density function, where $p ( x , y ) = \left\{ \begin{array} { c c } 
a x + b y & \text { if } 0 \leq x \leq 6,0 \leq y \leq 6 \
0 & \text { otherwise }
\end{array} \right.$

Quizplus · Accepted Answer

The Answer of Find the condition on the non-negative constants a and b for p(x, y)to be a joint density function, where $p ( x , y ) = \left\{ \begin{array} { c c } 
a x + b y & \text { if } 0 \leq x \leq 6,0 \leq y \leq 6 \
0 & \text { otherwise }
\end{array} \right.$