Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Question
Chapter 1, Problem 6E
To determine
To write:
The conventional preference schedule format for the given table.
Expert Solution & Answer
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Students have asked these similar questions
A sample of three hundred thirteen
students were surveyed one week prior to
the election for student body president
regarding their choice of three candidates.
The table below shows the results of the
survey.
Candidates A B C
Votes 108 134 71
Use the information above. There are 1267
students in the school. According to the
survey, about how many votes can
candidate B expect to recieve? Round to the
nearest whole person.
The members of Math Club are to choose a representative
among four candidates, M, A, T, H. The following table shows the result of the election.
Number of votes
18 12
2
First Choice
H
M
A
H
Second Choice
M
A
T
H
А
M
Third Choice
А
H
T
T
H
Fourth Choice
H
A
М М
A
3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second
choice, 2 points for the third choice and 1 point for the fourth choice, how many points T have
received?
4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second
choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have
received?
Find a preference table for an election with candidates A, B, and C, where A wins using the Borda count method.
Choose the correct answer below.
OA. Number of Votes
First Choice
Second Choice
Third Choice
C. Number of Votes
First Choice
Second Choice
Third Choice
15 10 4
A C C
C B
A
B A B
15 10 5
A B C
C
C
B
B
A
A
OB. Number of Votes 15 10 5
First Choice
Second Choice
Third Choice
OD. Number of Votes
First Choice
Second Choice
Third Choice
AC
А
с
B
SBA
А
C
2635
C
B
A
5 10
A
C
C
C
B
B A A
сл
Chapter 1 Solutions
Excursions in Modern Mathematics (9th Edition)
Ch. 1 - Figure 1-8 shows the preference ballots for an...Ch. 1 - Figure 1-9 shows the preference ballots for an...Ch. 1 - An election is held to choose the Chair of the...Ch. 1 - The student body at Eureka High School is having...Ch. 1 - An election is held using the printed-names format...Ch. 1 - Prob. 6ECh. 1 - Prob. 7ECh. 1 - Table 1-30 shows a conventional preference...Ch. 1 - The Demublican Party is holding its annual...Ch. 1 - The Epicurean Society is holding its annual...
Ch. 1 - Table 1-31 shows the preference schedule for an...Ch. 1 - Table 1-32 shows the preference schedule for an...Ch. 1 - Table 1-33 shows the preference schedule for an...Ch. 1 - Table 1-34 shows the preference schedule for an...Ch. 1 - Table 1-35 shows the preference schedule for an...Ch. 1 - Table1-36 shows the preference schedule for an...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-31see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 Number of voters 6 6 5 4 3 3 1st A B B...Ch. 1 - Table 1-35 Percent of voters 24 23 19 14 11 9 1st...Ch. 1 - Table 1-36 Percent of voters 25 21 15 12 10 9 8...Ch. 1 - The Heisman Award. Table 1-37 shows the results...Ch. 1 - The 2014 AL Cy Young Award. Table 1-38 shows the...Ch. 1 - An election was held using the conventional Borda...Ch. 1 - Imagine that in the voting for the American League...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table1-33 Number of voters 6 5 4 2 2 2 2 1st C A B...Ch. 1 - Table 1-34 See Exercise 14 shows the preference...Ch. 1 - Table1-39_ shows the preference schedule for an...Ch. 1 - Table1-40_ shows the preference schedule for an...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 See Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 see Exercise 14 shows the preference...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Table 1-39 see Exercise 35 shows the preference...Ch. 1 - Table1-40 see Exercise36 shows the preference...Ch. 1 - An election with five candidates A, B. C, D, and E...Ch. 1 - An election with six candidates A, B, C, D, E, and...Ch. 1 - Use Table 1-41 to illustrate why the Borda count...Ch. 1 - Use Table 1-32 to illustrate why the...Ch. 1 - Use Table 1-42 to illustrate why the plurality...Ch. 1 - Use the Math Club election Example 1.10 to...Ch. 1 - Use Table 1-43 to illustrate why the...Ch. 1 - Explain why the method of pair wise comparisons...Ch. 1 - Prob. 57ECh. 1 - Explain why the plurality method satisfies the...Ch. 1 - Explain why the Borda count method satisfies the...Ch. 1 - Explain why the method of pairwise comparisons...Ch. 1 - Two-candidate elections. Explain why when there...Ch. 1 - Alternative version of the Borda count. The...Ch. 1 - Reverse Borda count. Another commonly used...Ch. 1 - The average ranking. The average ranking of a...Ch. 1 - The 2006 Associated Press college football poll....Ch. 1 - The Pareto criterion. The following fairness...Ch. 1 - The 2003-2004 NBA Rookie of the Year vote. Each...Ch. 1 - Top-two IRV is a variation of the...Ch. 1 - The Coombs method. This method is just like the...Ch. 1 - Bucklin voting. This method was used in the early...Ch. 1 - The 2016 NBA MVP vote. The National Basketball...Ch. 1 - The Condorcet loser criterion. If there is a...Ch. 1 - Consider the following fairness criterion: If a...Ch. 1 - Suppose that the following was proposed as a...Ch. 1 - Consider a modified Borda count where a...
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Similar questions
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- Determines who wins the plurality vote and who wins the rank voting or preferential voting method in the election. 1. There are 650 students in a school, and they all get to vote for the school president. There are 3 candidates: Rios, • Millie, • Charles. Each student will receive a ballot and they will rank the candidates in or of 1", 2nd, and 3rd choice. Remember on the preferential vote the winning candidate must have 1 more than half the votes. See the results of the election below. Votes 225 175 250 225 1¹ Millie Charles Rios 250 and a. The person who has the largest number of first place votes is b. The person who has the fewest number of first place votes is c. The candidate we eliminate is d. Fill in the new table. 1 Charles Millie Millie Rios Rios Charles 2rd Is there a majority of votes for a candidate now? If yes, who is that candidate, and how many the first place votes does that candidate have? f. Who won the plurality vote or single candidate voting method? Explain how…arrow_forwardPlease show complete solution. Answer everything. Kindly skip if you're not interested to answer them. Thank you!arrow_forwardAn election is held to choose the chair of a department at a university. The candidates are Professors Argand, Brandt, Chavez, Dietz, and Epstein (A, B, C, D, and E for short). The following table gives the preference schedule for the election. Use the table to complete parts (a) through (c). Number of Voters 4 3 6. 3 4 1st choice B B A A 2nd choice A C D A D 3rd choice 4th choice D A D B. B. E B B 5th choice E A D E (a) How many people voted in this election? voters (Type a whole number.) (b) How many first-place votes are needed for a majority? The smallest number for a majority is votes. (e) Which candidate had the fewest last-place votes? B. Aarrow_forward
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