A researcher randomly surveyed 1,477 farmers to determine the geographical region in which they farm and the types of crops that grow there. The two-way table displays the data. Suppose a farmer from this survey is chosen at random. Let M = farmer lives in the Midwest and V = farmer grows vegetables. What is the value of P(V|M)? A) 251/72 B) 168/437 C) 723/1477 D) 251/365
A researcher randomly surveyed 1,477 farmers to determine the geographical region in which they farm and the types of crops that grow there. The two-way table displays the data. Suppose a farmer from this survey is chosen at random. Let M = farmer lives in the Midwest and V = farmer grows vegetables. What is the value of P(V|M)? A) 251/72 B) 168/437 C) 723/1477 D) 251/365
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A researcher randomly surveyed 1,477 farmers to determine the geographical region in which they farm and the types of crops that grow there. The two-way table displays the data.
Suppose a farmer from this survey is chosen at random. Let M = farmer lives in the Midwest and V = farmer grows vegetables. What is the value of P(V|M)?
A) 251/72
B) 168/437
C) 723/1477
D) 251/365

Transcribed Image Text:The table presents data on the distribution of different types of crops across various geographical regions in the United States, namely the Northeast, Southeast, Midwest, and West.
**Breakdown by Crop Type and Region:**
1. **Vegetables**
- Northeast: 93
- Southeast: 211
- Midwest: 251
- West: 168
- Total: 723
2. **Trees**
- Northeast: 115
- Southeast: 27
- Midwest: 16
- West: 53
- Total: 211
3. **Citrus**
- Northeast: 20
- Southeast: 209
- Midwest: 98
- West: 216
- Total: 543
**Overall Total:**
- Northeast: 228
- Southeast: 447
- Midwest: 365
- West: 437
- Grand Total: 1,477
This table provides a comprehensive view of crop distribution, highlighting regional strengths in specific crop types. For instance, the Southeast shows a high concentration of citrus crops, while the Midwest leads in vegetable production.
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