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) =

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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