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Q45Section C (Section C)45 of 60

Nine times a covariance from a triangular density

Let XX and YY be continuous random variables with the joint probability density function

f(x,y)={8xy,0<y<x<1, 0,otherwise.f(x,y)=\begin{cases}8xy, & 0<y<x<1,\ 0, & \text{otherwise.}\end{cases}

Then 9 Cov(X,Y)9\,\mathrm{Cov}(X,Y) equals __________________

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