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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 0 0.10 0.03 0.01 1 0.06 0.20 0.08 2 0.05 0.14 0.33 (a) What is P(X = 1 and Y 1)? P(X = 1 and Y = 1) = 0.20 (b) Compute P(X s1 and Y s 1). P(X s1 and Y s 1) = 0.39 (c) Give a word description of the event {X = 0 and Y = 0}. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. O At least one hose is in use at both islands. Compute the probability of this event. P(X + 0 and Y 0) =

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 0 0.10 0.03 0.01 1 0.06 0.20 0.08 2 0.05 0.14 0.33 (a) What is P(X = 1 and Y 1)? P(X = 1 and Y = 1) = 0.20 (b) Compute P(X s1 and Y s 1). P(X s1 and Y s 1) = 0.39 (c) Give a word description of the event {X = 0 and Y = 0}. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. O At least one hose is in use at both islands. Compute the probability of this event. P(X + 0 and Y 0) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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i am not understanding how the probability of part C is found 

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 0 0.10 0.03 0.01 0.06 0.20 0.08 2 0.05 0.14 0.33 (a) What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = 0.20| (b) Compute P(X < 1 and Y < 1). P(X < 1 and Y< 1) = 0.39 (c) Give a word description of the event {X ± 0 and Y + 0}. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. At least one hose is in use at both islands. Compute the probability of this event. P(X + 0 and Y + 0) =
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 0 0.10 0.03 0.01 0.06 0.20 0.08 2 0.05 0.14 0.33 (a) What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = 0.20| (b) Compute P(X < 1 and Y < 1). P(X < 1 and Y< 1) = 0.39 (c) Give a word description of the event {X ± 0 and Y + 0}. One hose is in use on both islands. One hose is in use on one island. At most one hose is in use at both islands. At least one hose is in use at both islands. Compute the probability of this event. P(X + 0 and Y + 0) =
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