- Activity 14 A Service Station Has Both Self Service And Full Service Islands On Each Island There Is A Single Regular 1 (157.28 KiB) Viewed 8 times
Activity 14 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) a. What is P(X = 1 and Y = 1)? b. Compute P(X ≤ 1 and Y ≤ 2). c. Compute the marginal pmf of X and of Y. d. Using px(x), what is P(X ≤ 1)? e. Find u X 0 1 2 0 .10 .08 .06 y 1 .04 .20 .14 2 .02 .06 .30