Less than 1-2 3-4 5-9 10-14 15 or More Row 1 Year Years Years Years 112 Years 77 Years 118 Total 452 East 32 54 59 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

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**Customer Loyalty by Region and Years Table**

The table below displays customer loyalty categorized by region and the number of years they have been customers. The table is divided into four regions: East, Midwest, South, and West. Each region has data showing the number of customers for various loyalty periods: less than 1 year, 1-2 years, 3-4 years, 5-9 years, 10-14 years, and 15 or more years. A row titled "Row Total" represents the sum of customers for that specific region. A "Column Total" represents the total number of customers for each loyalty period category.

|                     | Less than 1 Year | 1-2 Years | 3-4 Years | 5-9 Years | 10-14 Years | 15 or More Years | Row 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 Total**    | **157**         | **270**   | **287**   | **468**   | **291**      | **535**          | **2008**  |

**Questions:**
1. 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
Transcribed Image Text:**Customer Loyalty by Region and Years Table** The table below displays customer loyalty categorized by region and the number of years they have been customers. The table is divided into four regions: East, Midwest, South, and West. Each region has data showing the number of customers for various loyalty periods: less than 1 year, 1-2 years, 3-4 years, 5-9 years, 10-14 years, and 15 or more years. A row titled "Row Total" represents the sum of customers for that specific region. A "Column Total" represents the total number of customers for each loyalty period category. | | Less than 1 Year | 1-2 Years | 3-4 Years | 5-9 Years | 10-14 Years | 15 or More Years | Row 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 Total** | **157** | **270** | **287** | **468** | **291** | **535** | **2008** | **Questions:** 1. 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
**#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 the length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

*[Note: The table described in the text is not visible in the image provided. Therefore, only the accompanying text can be described and detailed explanations of any graphs or diagrams cannot be provided.]*
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 the length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. *[Note: The table described in the text is not visible in the image provided. Therefore, only the accompanying text can be described and detailed explanations of any graphs or diagrams cannot be provided.]*
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