A football team needs to select a captain from among four players-Steel, Griffin, Pollard, and Driggs. The preference rankings for the team are as follows: # of votes 12 5 8 10 3 2 Steel 1 4 2 2 Griffin 2 3 1 1 1 4 4 Pollard 3 2 3 4 2 3 1 3 Driggs 4 4 4 2 3 1 A) What are the vote totals using the Plurality method? B) Who would win using Plurality with a Runoff between the top two finishers? (Show both vote totals)
A football team needs to select a captain from among four players-Steel, Griffin, Pollard, and Driggs. The preference rankings for the team are as follows: # of votes 12 5 8 10 3 2 Steel 1 4 2 2 Griffin 2 3 1 1 1 4 4 Pollard 3 2 3 4 2 3 1 3 Driggs 4 4 4 2 3 1 A) What are the vote totals using the Plurality method? B) Who would win using Plurality with a Runoff between the top two finishers? (Show both vote totals)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Voting Preferences for Team Captain**
A football team needs to select a captain from among four players—Steel, Griffin, Pollard, and Driggs. The preference rankings for the team are shown in the table below:
| # of votes | 12 | 5 | 8 | 1 | 10 | 3 | 2 |
|------------|----|----|----|----|----|----|----|
| **Steel** | 1 | 1 | 2 | 3 | 4 | 2 | 2 |
| **Griffin**| 2 | 3 | 1 | 1 | 1 | 4 | 4 |
| **Pollard**| 3 | 2 | 3 | 4 | 2 | 1 | 3 |
| **Driggs** | 4 | 4 | 4 | 2 | 3 | 3 | 1 |
**A) What are the vote totals using the Plurality method?**
- **Steel:** Receives 12 (1st place votes) + 5 (1st place votes) = 17 votes
- **Griffin:** Receives 8 (1st place votes) + 1 (1st place vote) + 10 (1st place votes) = 19 votes
- **Pollard:** Receives 3 (1st place votes) = 3 votes
- **Driggs:** Receives 2 (1st place votes) = 2 votes
**B) Who would win using Plurality with a Runoff between the top two finishers? (Show both vote totals)**
Top two finishers from the Plurality method are Griffin and Steel.
- **Runoff Votes:**
- **Griffin**: 12 (1st place) + 8 (1st place) + 10 (1st place) + 2 (2nd place) = 32 votes
- **Steel**: 5 (1st place) + 3 (2nd place) + 3 (2nd place) = 11 votes
**Winner:** Griffin wins the runoff with 32 votes against Steel's 11 votes.
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