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Find the Condition on the Non-Negative Constants a and B p(x,y)={ax+by if 0x6,0y60 otherwise 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 36

Essay

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)={ax+by if 0x6,0y60 otherwise 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.


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