Discrete random variables X and Y have a joint distribution function Fx.y (x, y) = 0.1u(x+4)(y-1)+0.15u(x+3)u(y-1)+0.22u(x)u(y-3) u(x-4)u(y+2) +0.12u(x-4)u(y+3) +0.18u(x-2)u(y+2)+0.23 Find (a) the marginal distribution functions F, (x) and F, (y); (b) P{−1 < X ≤4,-3

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Discrete random variables X and Y have a joint distribution function
Fxy(x, y) = 0.1u(x+4)(y-1)
+0.15u(x+3)u(y-1)+0.22u(x)u(y-3)
+0.18u(x-2)u(y+2)+0.23 u(x−4)u(y+2) +0.12u(x-4)u(y+3)
Find (a) the marginal distribution functions F(x) and F, (y); (b) P{−1 < X ≤4,-3<Y ≤3}.
Transcribed Image Text:Discrete random variables X and Y have a joint distribution function Fxy(x, y) = 0.1u(x+4)(y-1) +0.15u(x+3)u(y-1)+0.22u(x)u(y-3) +0.18u(x-2)u(y+2)+0.23 u(x−4)u(y+2) +0.12u(x-4)u(y+3) Find (a) the marginal distribution functions F(x) and F, (y); (b) P{−1 < X ≤4,-3<Y ≤3}.
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