Problem 1 A service station has both self service and full service 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 p x y Blank 2 Blank 3 O 0 y 7 2 0 10 0 03 0 02 1 0 06 0 20 0 08 1 What is P X 1 and Y 1 2 Compute P X 1 and Y 1 3 Compute the marginal pmf of X when x 1 Blank 1 0 06 0 14 0 31 A N