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The Joint Density Function for a Pair of Random Variables XX

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The joint density function for a pair of random variables XX and YY is given. f(x,y)={Cx(1+y),0x2,0y20, otherwise f ( x , y ) = \left\{ \begin{array} { l l } C x ( 1 + y ) , & 0 \leq x \leq 2,0 \leq y \leq 2 \\0 , & \text { otherwise }\end{array} \right. Find the value of the constant CC .


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