(Solved): Let x and Y have joint pmf given in the table below: (a) (5 points) Find the marginal distribution ...

Let

and

have joint pmf given in the table below: (a) (5 points) Find the marginal distribution for

. (b) (5 points) Find the marginal distribution for

. (c) (5 points) Find marginal distribution of

given

. That is, give the distribution of

. (d) (3 points) Are

and

independent? Support your answer.