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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 -8, -7, - 6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 О о, 1, 2, 3, 4, 5, 6, 7, 8 О-7, -6, -5, -4,-3, -2,-1, о О-8, -7, -6, -5, -4, -3, -2, -1, 0 O 0, 1, 2, 3, 4, 5, 6, 7 Another random variable could be W = T, + T2. 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 o otherwise. What are the possible values of W? O -1, 0, 1 О -2, -1, 0, 1, 2 O 0, 1, 2 O 0, 1 O 0, 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? О -8, -7, - 6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 О о, 1, 2, 3, 4, 5, 6, 7, 8 О-7, -6, -5, -4,-3, -2,-1, о О-8, -7, -6, -5, -4, -3, -2, -1, 0 O 0, 1, 2, 3, 4, 5, 6, 7 Another random variable could be W = T, + T2. 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 o otherwise. What are the possible values of W? O -1, 0, 1 О -2, -1, 0, 1, 2 O 0, 1, 2 O 0, 1 O 0, 1, 2, 3, 4, 5, 6, 7, 8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 Оо, 1, 2, 3, 4, 5, 6, 7, 8 О-7, -6, -5, -4, -3, -2, -1, 0 О-8, -7, -6, -5, -4, -3, -2, -1, 0 O 0, 1, 2, 3, 4, 5, 6, 7 Another random variable could be W = T, + T2. 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? О -1, 0, 1 О-2, -1, 0, 1, 2 O 0, 1, 2 О о, 1 О о, 1, 2, 3, 4, 5, 6, 7, 8
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 -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 Оо, 1, 2, 3, 4, 5, 6, 7, 8 О-7, -6, -5, -4, -3, -2, -1, 0 О-8, -7, -6, -5, -4, -3, -2, -1, 0 O 0, 1, 2, 3, 4, 5, 6, 7 Another random variable could be W = T, + T2. 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? О -1, 0, 1 О-2, -1, 0, 1, 2 O 0, 1, 2 О о, 1 О о, 1, 2, 3, 4, 5, 6, 7, 8
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