(is that even a probability distribution?)

The marginal distribution of ( a discrete RV) is defined by:

How can you know this without knowing the marginals?2. Are X and Y independent?

I know they are indepented because f(x,y)=g(x)h(y)

That is true, right?

I just can't come up with the correct way to solve for the marginals. Will each marginal end up just being 1/6?

where is the joint probability of and , the marginal for and the marginal for is a necessary and sufficient condition for independence, but you need to show that it is true (or false).

CB