a little bit rusty on statistics, i generally know how to set up the problems but not how to solve. thanks for any help you can give, especially with the integration bounds I'm confused with.
X & Y have a joint distribution, and the following is the joint density fnct:
f(x,y)={ 24xy for x>=0, y>=0, x+y<=1
{0 otherwise
*Compute marginal distribution and cumulative distribution of X:
f(x) = intg[over y] f(x,y)dy = 12xy^2?
F(x) = intg[over x] f(x)dx = 6x^2y^2?
*Determine whether X and Y are independent: f(x,y)=f(x)f(y) identity for independence
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