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GATE EC 2016 Set 2 — Question 38

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NAT+2 / -0MediumJoint ProbabilityProbabilityEngineering Mathematics

Engineering Mathematics → Probability → Joint Probability

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Question

Two random variables XX and YY are distributed according to fX,Y(x,y)={(x+y),0≤x≤1, 0≤y≤10,otherwise.f_{X,Y}(x, y) = \begin{cases} (x + y), & 0 \leq x \leq 1, \ 0 \leq y \leq 1 \\ 0, & \text{otherwise.} \end{cases}The probability P(X+Y≤1)P(X + Y \leq 1) is ________
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