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A service station has both self-service and full-service islands. On each island, there is a single...
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=x,Y=y) Y X 0 1 2 0 0.1 0.04 0.02 1 0.08 0.2 0.06 2 0.06 0.14 0.3 a) Compute the correlation coefficient.(10 points)
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