1. A service station has both self-service and fullservice islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time.

The joint pmf of X and Y appears in the accompanying tabulation.

y p(x, y) 0 1 2 0 .10 .04 .02 x 1 .08 .20 .06 2 .06 .14 .30

a. What is P(X  1 and Y  1)?

b. Compute P(X 1 and Y 1).

c. Give a word description of the event {X  0 and