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Q12Section B (Section B)11 of 18

Normalising constant for a joint density on a wedge

Let the joint density function of (X,Y)(X,Y) be

f(x,y)={c(x+y),−x<y<x,0<x<1, 0,otherwise.f(x,y)=\begin{cases}c(x+y), & -x<y<x, 0<x<1,\ 0, & \text{otherwise.}\end{cases}

Then the value of cc is equal to ____________

Numerical answer: type the number (no options).

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