Find the Condition on the Non-Negative Constants a and B $p ( x , y ) = \left\{ \begin{array} { c l } a x + b y , & 0 \leq x \leq 8,0 \leq y \leq 8 \\0 & \text { otherwise }\end{array} \right.$

question 58

Multiple Choice

Find the condition on the non-negative constants a and b for p(x, y) to be a joint density function, where $p ( x , y ) = \left\{ \begin{array} { c l } a x + b y , & 0 \leq x \leq 8,0 \leq y \leq 8 \\0 & \text { otherwise }\end{array} \right.$

• A) \(a + b = \frac { 1 } { 256 }\)
• B) \(a + b = \frac { 1 } { 32 }\)
• C) \(a + b < \frac { 1 } { 256 }\)
• D)a=b
• E) \(a + b = \frac { 1 } { 512 }\)

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