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(a) What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = | (b) Compute P(X ≤ 1 and Y S 1). P(X ≤ 1 and YS 1) = | (c) Give a word description of the event (X = 0 and Y = 0). O At least one hose is in use at both islands. At most one hose is in use at both islands. One hose is in use on one island. One hose is in use on both islands. Compute the probability of this event. P(X = 0 and Y= 0) =

(a) What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = | (b) Compute P(X ≤ 1 and Y S 1). P(X ≤ 1 and YS 1) = | (c) Give a word description of the event (X = 0 and Y = 0). O At least one hose is in use at both islands. At most one hose is in use at both islands. One hose is in use on one island. One hose is in use on both islands. Compute the probability of this event. P(X = 0 and Y= 0) =

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.CT: Test
Problem 11CT: aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _
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Q11.1

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) 0 1 2 0 0.10 0.03 0.01 X 1 0.07 0.20 0.07 2 0.06 0.14 0.32 (a) What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = (b) Compute P(X ≤ 1 and Y ≤ 1). P(X ≤ 1 and Y ≤ 1) = (c) Give a word description of the event {X = 0 and Y = 0}. At least one hose is in use at both islands. At most one hose is in use at both islands. O One hose is in use on one island. O One hose is in use on 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) 0 1 2 0 0.10 0.03 0.01 X 1 0.07 0.20 0.07 2 0.06 0.14 0.32 (a) What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) = (b) Compute P(X ≤ 1 and Y ≤ 1). P(X ≤ 1 and Y ≤ 1) = (c) Give a word description of the event {X = 0 and Y = 0}. At least one hose is in use at both islands. At most one hose is in use at both islands. O One hose is in use on one island. O One hose is in use on both islands. Compute the probability of this event. P(X = 0 and Y # 0) =
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