I simply cannot understand this. My TAs aren't available until tomorrow and I really do not want to put this off until then. I'd like to have some idea of how to do this beforehand.
The question is:
The joint density function of X and Y is
f(x, y) =
for 0 < x < y, 0 < y < 1
a) Compute the density of X. b) Compute the density of Y. c) Are X and Y independent?
Integrals have something to do with this, I know, but I'm not sure how to use them to get the answers I want. Independence in terms of probability I know but I don't know how to apply it to this problem.
TLDR: I need an explanation (thorough, please) on how to approach this problem so I know how to complete it and obtain the correct answer.