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 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) 00.10 0.05 0.01 10.06 0.20 0.09 2 0.06 0.14 0.30 J What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = | Compute P(X si and Ys 1). P(X s1 and Ys 1) - Give a word description of the event (X = 0 and Y = 0}. O One hose is in use on both islands. O One hose is in use on one island. O At most one hose is in use at both islands. O At least one hose is in use at both island-

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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.
P(x, y)
1
0 0.10 0.05 0.01
10.06 0.20 0.09
2 0.06 0.14 0.30
J What is P(X = 1 and Y = 1)?
P(X = 1 and Y = 1) =|
Compute P(Xs1 and Y s 1).
P(X s1 and Ys 1) =
Give a word description of the event {X + 0 and Y = 0}.
O One hose is in use on both islands.
O One hose is in use on one island.
O At most one hose is in use at both islands.
O At least one hose is in use at both island-
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. P(x, y) 1 0 0.10 0.05 0.01 10.06 0.20 0.09 2 0.06 0.14 0.30 J What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) =| Compute P(Xs1 and Y s 1). P(X s1 and Ys 1) = Give a word description of the event {X + 0 and Y = 0}. O One hose is in use on both islands. O One hose is in use on one island. O At most one hose is in use at both islands. O At least one hose is in use at both island-
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