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Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

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
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

  Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years Row Total
East 32 53 59 112 77 115 448
Midwest 31 75 68 120 63 172 529
South 53 78 93 158 106 172 660
West 41 43 67 78 45 95 369
Column Total 157 249 287 468 291 554 2006
Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years Row Total East Midwest South 32 53 59 112 77 115 448 31 75 68 120 63 172 529 53 78 93 158 106 172 660 West Column Total 41 43 67 78 45 95 369 157 249 287 468 291 554 2006 What is the probability that a customer chosen at random has the following characteristics? (Enter your answers as fractions.) (a) has been loyal 10 to 14 years (b) has been loyal 10 to 14 years, given that he or she is from the East (c) has been loyal at least 10 years (d) has been loyal at least 10 years, given that he or she is from the West (e) is from the West, given that he or she has been loyal less than 1 year (f) is from the South, given that he or she has been loyal less than 1 year (g) has been loyal 1 or more years, given that he or she is from the East (h) has been loyal 1 or more years, given that he or she is from the West () Are the events from the East and loyal 15 or more years independent? Explain. O No. These events cannot occur together. O Yes. These events can occur together. O Yes. P(loyal 15 or more years) = P(loyal 15 or more years | East). O No. P(loyal 15 or more years) + P(loyal 15 years | East). or more
Transcribed Image Text:Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years Row Total East Midwest South 32 53 59 112 77 115 448 31 75 68 120 63 172 529 53 78 93 158 106 172 660 West Column Total 41 43 67 78 45 95 369 157 249 287 468 291 554 2006 What is the probability that a customer chosen at random has the following characteristics? (Enter your answers as fractions.) (a) has been loyal 10 to 14 years (b) has been loyal 10 to 14 years, given that he or she is from the East (c) has been loyal at least 10 years (d) has been loyal at least 10 years, given that he or she is from the West (e) is from the West, given that he or she has been loyal less than 1 year (f) is from the South, given that he or she has been loyal less than 1 year (g) has been loyal 1 or more years, given that he or she is from the East (h) has been loyal 1 or more years, given that he or she is from the West () Are the events from the East and loyal 15 or more years independent? Explain. O No. These events cannot occur together. O Yes. These events can occur together. O Yes. P(loyal 15 or more years) = P(loyal 15 or more years | East). O No. P(loyal 15 or more years) + P(loyal 15 years | East). or more
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