MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 | 56 | 59 | 112 | 77 | 110 | 446 |
Midwest | 31 | 81 | 68 | 120 | 63 | 156 | 519 |
South | 53 | 104 | 93 | 158 | 106 | 198 | 712 |
West | 41 | 69 | 67 | 78 | 45 | 65 | 365 |
Column Total | 157 | 310 | 287 | 468 | 291 | 529 | 2042 |
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
(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
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