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 74 59 112 77 150 504 Midwest 31 88 68 120 63 145 515 South 53 70 93 158 106 193 673 West 41 63 67 78 45 85 379 Column Total 157 295 287 468 291 573 2,071 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 (i) Are the events from the East and loyal 15 or more years independent? Explain. No. These events cannot occur together. Yes. These events can occur together. No. P(loyal 15 or more years) + P(loyal 15 or more years | East). Yes. P(loyal 15 or more years) = P(loyal 15 or more years | East).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. 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. i) Are the events from the East and loyal 15 or more years independent? Explain.