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) 1 2 ol0.10 0.05 0.01 10.06 0.20 0.08 2 0.06 0.14 0.30 * Compute the marginal pmf of X. 1 Compute the marginal pmf of Y. Using p,(x), vhat is P(Xs 1)? PIX s 1) =

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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.
y
P(x, y)
1
2
o 0.10 0.05 0.01
1 0.06 0.20 0.08
2 0.06 0.14 0.30
* Compute the marginal pmf of X.
1
Compute the marginal pmf of Y.
y
1
Using p,(x), what is P(X s 1)?
P(Xs 1) = |
Transcribed Image Text: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. y P(x, y) 1 2 o 0.10 0.05 0.01 1 0.06 0.20 0.08 2 0.06 0.14 0.30 * Compute the marginal pmf of X. 1 Compute the marginal pmf of Y. y 1 Using p,(x), what is P(X s 1)? P(Xs 1) = |
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