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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) =

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 32E
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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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