Consider an experiment in which the number of pumps in use at each of two eight-pump gas stations was determined. Call the two gas stations Station A and Station B. Define rv's X, Y, and U by X = the total number of pumps in use at the two stations Y = the difference between the number of pumps in use at Station A and the number in use at Station B U = the maximum of the numbers of pumps in use at the two stations. Another random variable could be V = the difference between the maximum and minimum number of pumps in use at the two stations. What are the possible values of V? O -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 O 0, 1, 2, 3, 4, 5, 6, 7 О о, 1, 2, 3, 4, 5, 6, 7, 8 О-8, -7, -6, -5, -4, -3, -2,-1, 0 O -7, -6, -5, -4, -3, -2, -1, o Another random variable could be W = T, + T2. Let T, = 1 if any of the pumps at Station A is use and 0 otherwise, and T, = 1 if any of the pumps at Station B is in use and o otherwise. What are the possible values of W? O -2, -1, 0, 1, 2 O -1, 0, 1 O 0, 1 O 0, 1, 2 О о, 1, 2, 3, 4, 5, 6, 7, 8
Consider an experiment in which the number of pumps in use at each of two eight-pump gas stations was determined. Call the two gas stations Station A and Station B. Define rv's X, Y, and U by X = the total number of pumps in use at the two stations Y = the difference between the number of pumps in use at Station A and the number in use at Station B U = the maximum of the numbers of pumps in use at the two stations. Another random variable could be V = the difference between the maximum and minimum number of pumps in use at the two stations. What are the possible values of V? O -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 O 0, 1, 2, 3, 4, 5, 6, 7 О о, 1, 2, 3, 4, 5, 6, 7, 8 О-8, -7, -6, -5, -4, -3, -2,-1, 0 O -7, -6, -5, -4, -3, -2, -1, o Another random variable could be W = T, + T2. Let T, = 1 if any of the pumps at Station A is use and 0 otherwise, and T, = 1 if any of the pumps at Station B is in use and o otherwise. What are the possible values of W? O -2, -1, 0, 1, 2 O -1, 0, 1 O 0, 1 O 0, 1, 2 О о, 1, 2, 3, 4, 5, 6, 7, 8
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Transcribed Image Text:Consider an experiment in which the number of pumps in use at each of two eight-pump gas stations was determined. Call the two gas stations Station A and Station B. Define rv's X, Y, and U by
X = the total number of pumps in use at the two stations
Y = the difference between the number of pumps in use at Station A and the number in use at Station B
U = the maximum of the numbers of pumps in use at the two stations.
Another random variable could be V = the difference between the maximum and minimum number of pumps in use at the two stations. What are the possible values of V?
О-в, -7, -6, -5, —4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
O 0, 1, 2, 3, 4, 5, 6, 7
О о, 1, 2, 3, 4, 5, 6, 7, 8
О -8, -7, -6, -5, -4, -3, —2, -1, 0
О-7, -6, -5, -4, -3, -2, -1, о
Another random variable could be W = T, + T,. Let T, = 1 if any of the pumps at Station A is in use and 0 otherwise, and T, = 1 if any of the pumps at Station B is in use and 0 otherwise. What are the possible values of W?
O -2, -1, 0, 1, 2
O -1, 0, 1
O o, 1
O 0, 1, 2
О о, 1, 2, 3, 4, 5, 6, 7, 8
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