1-2 Less Than 1 Year 3-4 5-9 10-14 15 or More Years RowTotal Years Years Years Years East 32 54 59 112 77 118 452 Midwest 120 63 158 106 31 68 68 173 523 South 53 92 93 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008

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Survey: Customer Loyalty are customers more loyal in the east or in the west? The following table is based on information from Tends in the United Staes, published by the Food Marketing Institute. Washington. D. C. The columns represent length of customer loyality (in years) at a primary supermarket. The rows represent regions of the unites 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 west?

(e) is from the west, given that he or she 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.

1-2
Less Than 1 Year
3-4
5-9
10-14
15 or More Years RowTotal
Years Years Years Years
East
32
54
59
112
77
118
452
Midwest
120 63
158 106
31
68
68
173
523
South
53
92
93
158
660
West
41
56
67
78
45
86
373
Column Total 157
270
287
468
291
535
2008
Transcribed Image Text:1-2 Less Than 1 Year 3-4 5-9 10-14 15 or More Years RowTotal Years Years Years Years East 32 54 59 112 77 118 452 Midwest 120 63 158 106 31 68 68 173 523 South 53 92 93 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008
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