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

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D, E and F please, thank you!

#32 Survey: Customer Loyalty Are customers more loyal in the east or in the west? The
following table is based on information from Trends in the United States. The columns represent
length of customer loyalty (in years) at a primary supermarket. The rows represent regions on
the United States.
Transcribed Image Text:#32 Survey: Customer Loyalty Are customers more loyal in the east or in the west? The following table is based on information from Trends in the United States. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions on the United States.
Less than
1-2
3-4
5-9
10-14
15 or More
Row
1 Year
Years
Years
Years
Years
Years
Total
East
32
54
59
112
77
118
452
Midwest
31
68
68
120
63
173
523
South
53
92
93
158
106
158
660
West
41
56
67
78
45
86
373
Column
157
270
287
468
291
535
2008
Total
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 “from the east" and “loyal 15 or more years" independent? Explain.
Transcribed Image Text:Less than 1-2 3-4 5-9 10-14 15 or More Row 1 Year Years Years Years Years Years Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column 157 270 287 468 291 535 2008 Total 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 “from the east" and “loyal 15 or more years" independent? Explain.
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