Somerset Oakland Great Lakes Vehicle Type (5) (0) (G) Row Total Car (C) Minivan (M) Full-Size Van (F) SUV (V) 44 49 36 129 21 15 18 54 3 3 8. 19 27 26 72 Truck (T) 14 17 37 Col Total 100 100 100 400 Multiple Cholce 0.0475 0.1900 0.4144 0.2639

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**Contingency Table Analysis**

**Problem Statement:**
Given the contingency table shown here, find P(V | S).

**Contingency Table:**

| Vehicle Type  | Somerset (S) | Oakland (O) | Great Lakes (G) | Row Total |
|---------------|--------------|-------------|-----------------|-----------|
| Car (C)       | 44           | 49          | 36              | 129       |
| Minivan (M)   | 21           | 15          | 18              | 54        |
| Full-Size Van (F) | 2        | 3           | 3               | 8         |
| SUV (V)       | 19           | 27          | 26              | 72        |
| Truck (T)     | 14           | 6           | 17              | 37        |
| **Col Total** | **100**      | **100**     | **100**         | **400**   |

**Question:**
Calculate the conditional probability of selecting an SUV given that you are in Somerset, P(V | S).

**Multiple Choice Options:**

- ⬤ 0.0475
- ⃝ 0.1900
- ⃝ 0.4144
- ⃝ 0.2639

--- 

**Graph/Diagram Explanation (if any):**

The table above is a contingency table that categorizes data by vehicle type across three different regions: Somerset, Oakland, and Great Lakes. Each row totals the number of specific vehicle types across all regions, while each column totals the number of vehicles in a specific region, summing up to a grand total of 400 vehicles. The task is to find the probability of selecting an SUV in the Somerset area from the given data.
Transcribed Image Text:**Contingency Table Analysis** **Problem Statement:** Given the contingency table shown here, find P(V | S). **Contingency Table:** | Vehicle Type | Somerset (S) | Oakland (O) | Great Lakes (G) | Row Total | |---------------|--------------|-------------|-----------------|-----------| | Car (C) | 44 | 49 | 36 | 129 | | Minivan (M) | 21 | 15 | 18 | 54 | | Full-Size Van (F) | 2 | 3 | 3 | 8 | | SUV (V) | 19 | 27 | 26 | 72 | | Truck (T) | 14 | 6 | 17 | 37 | | **Col Total** | **100** | **100** | **100** | **400** | **Question:** Calculate the conditional probability of selecting an SUV given that you are in Somerset, P(V | S). **Multiple Choice Options:** - ⬤ 0.0475 - ⃝ 0.1900 - ⃝ 0.4144 - ⃝ 0.2639 --- **Graph/Diagram Explanation (if any):** The table above is a contingency table that categorizes data by vehicle type across three different regions: Somerset, Oakland, and Great Lakes. Each row totals the number of specific vehicle types across all regions, while each column totals the number of vehicles in a specific region, summing up to a grand total of 400 vehicles. The task is to find the probability of selecting an SUV in the Somerset area from the given data.
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