A service station has both self-service and full-serviceislands. On each island, there is a single regular unleaded pumpwith two hoses. Let X denote the number of hoses being used on theself-service island at a particular time, and let Y denote thenumber of hoses on the full-service island in use at that time. Thejoint pmf of X and Y appears in the accompanying tabulation.
| P(x,y) | y |
| x | | 0 | 1 | 2 |
| 0 | 0.06 | 0.14 | 0.02 |
| 1 | 0.03 | a | 0.1 |
| 2 | 0.06 | 0.08 | 0.19
|
e.) What is E(Y|X=0)?
f.) What is Var(Y|X=0)?
l.) Standard deviation of X?
m.) Standard deviation of Y?
n.) Corr(X,Y)?
