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Q15Section A (Section A)15 of 60

Probability that a sum exceeds one half

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

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

Then P(X+Y>12)P\left(X+Y>\frac12\right) equals

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