I have been trying to figure out how to get the upper and lower limits to this problem? Would it be through u substitution?
Let X and Y be random variables. The density function of X is
f(x) = 24x^2, for 0<x<1/2,
0, otherwise
The conditional density of Y, given X=x, is
g(y) = y/(2x^2), for 0<y<2x,
0, otherwise
What is the form of the marginal density function of Y where it is nonzero?
The answer is, ky(1-y) for 0<y<1, but not exactly sure on how it was derived.
Thanks for the help.