I am stuck on the below problem. I am not sure how to approach. What I have done so far is used the fact that and expanded the the variance formula to include , but I have not had much luck with it. I also thought about settin gup a system, but I am not sure how I would do that.
Q: Suppose Y is a discrete random variable having , ,
, and . Consider the discrete random variable X having
, , , and . Also, suppose
p2 = 2p1 . Find p1 , p2 , p3 , and p4 such that and .
Any help would be much appreciated, thanks