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Problem 5. Is it possible to find a pair of real-valued random variables (X, Y ) such that the joint cdf equals F(x, y) =

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Problem 5. Is it possible to find a pair of real-valued random variables (X, Y ) such that the joint cdf equals F(x, y) = 1x+2y>1? Why? Hint: as before, 1x+24)1 denotes the indicator functions. Note that if F is a valid cdf then a few properties must be satisfied, e.g. . limx->- limy->- F(x, y) = 0; . limx->+0 limy-+ + F(x, y) = 1, . For any for numbers a

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