Discrete rv question
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
Originally Posted by Danneedshelp
You need two more equations:
Use the definition of expected value to calculate E(X) and E(Y) and hence get a second equation using E(X) = E(Y).
Use the definition of variance to calculate Var(X) and Var(Y) and hence get a third equation using Var(X) = Var(Y).
If you need more help, please show all your working and state where you're stuck.