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Two random variables X and Y have a joint cumulative distribution function given by FXY(x, y) = 1/2 [u(x-2) + u(x-3)] {(1 exp(-y/2)) u(y),

Two random variables X and Y have a joint cumulative distribution function given by FXY(x, y) = 1/2 [u(x-2) + u(x-3)] {(1 exp(-y/2)) u(y), then the marginal probability density function fX(x) is given by delta(x-2) + delta(x-3) .a O delta(x-2) + 1/3 delta(x-3) 1/2 .b O delta(x-2) + 1/3 delta(x-3) 1/3 .c O delta(x-2) + 1/2 delta(x-3) 1/2.d O given the jointly PDF function as: fxy(x.y)=0.05 [u(x)-u(x-5)] [uy)-u(y-4)], what is the value of the correlation of X and Y 1.a O 20 .b O 64.c O 5.d O

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