1. Let X and Y be jointly discrete random variables (you could think of X as being the return of some stock and Y be the return of another stock). Their joint probability distribution is described by the following table

1. = 4x= 2

0:4	0:2
0:1	0:3

1. = 9 y= 4

Answer each of the following questions (and show all the steps required to arrive at the solution. If a calculation is required, need to show it for full credit)

1. What is the probability that X=2 and Y=9, P[X= 2;Y= 9]?

1. What is the probability that Y=9?
2. What is the probability that Y=9 given that X=4?
3. Compute E[Y]
4. Compute E[YjX= 4]
5. Compute V ar(Y)
6. Compute
   

\f\f