Question: F(x, y) is the value of the joint distribution function of two discrete random variables X and Y at (x, y), show that (a) F(-,-)

F(x, y) is the value of the joint distribution function of two discrete random variables X and Y at (x, y), show that 

(a) F(-∞,-∞) = 0; 

(b) F(q, q) = 1; 

(c) if a< b and c< d, then F(a, c) ≤ F(b, d).

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