I am studying for a final exam and I am having trouble with getting started with one of my problems. If someone could help explain I would be grateful.
Let Y be a random variable taking the values -1,0,1 equally likely. Let V be another random variable, independent of Y, and taking the values +1 & 1 with probability 1/2.
1) Denote by h(y,v) the joint distribution of Y and V. Find h(y,v) (make a table of values)
2) Let X=YV. Find the p.m.f for X
3) Let f(x,y) be the joint p.m.f. of X and Y. Find f(x,y)
4) Are X and Y independent? Reason?
I have looked in my book and I can't seem to find an example of how to construct the table of values. Any help would be appreciated.