1. Statistics
2. Probability
3. 427323

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Prove the following:

a) Fxy(a,b) is non-decreasing (in a and b).
b) lim a->inf Fxy(a,b) = Fy(b)
c) Jointly continuous random variables X and Y are independent if and only if
fxy(x,y) = fx(x)*fy(y)

fxy(x,y) is the joint probability density function.
Fxy(a,b) is the joint cumulative distribution function where x y (this is not x*y) are random variables.