random variables
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.
https://brainmass.com/statistics/probability/probability-random-variables-427323
Solution Summary
Probability of random variables is articulated.
$2.19