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The Joint Density Function for a Pair of Random Variables

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The joint density function for a pair of random variables X and Y is f(x,y)={Cxy if 0x1 and 1y20 otherwise f ( x , y ) = \left\{ \begin{array} { l l } C \frac { x } { y } & \text { if } 0 \leq x \leq 1 \text { and } 1 \leq y \leq 2 \\0 & \text { otherwise }\end{array} \right. . Find the value of C.

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