MATLAB: An Introduction with Applications
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
 
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