Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United States, published by the Food Marketing Institute, Washington, D.C. 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:
(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 €œfrom the East€ and €œloyal 15 or more years€ independent?
Explain.

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East Midwest South West Column Total 157 270287 468 291 Less than -2 3-4 5-9 10-14 15 or More Row 1 Year Years Years Years Years Years Total 452 523 660 373 2008 32 31 53 41 54 59 12 77 68 68 120 63 92 93 158 106 56 67 7845 118 173 158 86 535