A class president is chosen by a popular vote. The winner of this election will be chosen by plurality. 1st Place Sergio Maria Alison Alison 2nd Place Alison Alison Maria Sergio 3rd Place Maria Sergio Sergio Maria Voters 120 100 50 10 (a) How many people voted in this election? Which candidate wins this election? (b) Does any candidate have a majority? If so, which one? (c) Does Criterion 1 apply? If so, has it been satisfied?
A class president is chosen by a popular vote. The winner of this election will be chosen by plurality. 1st Place Sergio Maria Alison Alison 2nd Place Alison Alison Maria Sergio 3rd Place Maria Sergio Sergio Maria Voters 120 100 50 10 (a) How many people voted in this election? Which candidate wins this election? (b) Does any candidate have a majority? If so, which one? (c) Does Criterion 1 apply? If so, has it been satisfied?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Number 1 please

Transcribed Image Text:. A class president is chosen by a popular vote. The winner of this election will be chosen by plurality.
1st Place
Sergio
Maria
Alison
Alison
2nd Place
Alison
Alison
Maria
Sergio
3rd Place
Maria
Sergio
Sergio
Maria
Voters
120
100
50
10
(a) How many people voted in this election? Which candidate wins this election?
(b) Does any candidate have a majority? If so, which one?
(c) Does Criterion 1 apply? If so, has it been satisfied?
2. Suppose that an employer decides to hire a new CEO using the Borda count. A panel of 35 managers,
board members, and other executives rank the candidates using a preference ballot. Here is the
preference schedule.
Ashford
Ashford
1st Place
Chen
2nd Place
Ashford
Borge
Chen
3rd Place
Borge
Chen
Borge
16
1
Voters
18
(a) Find the Borda count for each of the candidates to determine who will be hired.
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