Question 9Use the following preference schedule to answer the following question:Using the Borda Count ranking method, which candidate comes in the last place?Voters86.9.1stAA· CD2ndBDCВ3rdCCA4thADO AO CO DO BB.AB.D.

Borda count method Since 8 voters have given A as first preference and B as second preference So to…

Answered: Question 9 Use the following preference…

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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Use the Borda method to determine the winner of the election for the school president. There are 4 candidates. They are A, B, C, and D. The school’s clubs voted for the president. They ranked their choices and below is the result. Clubs 1 3 4 Number of Votes 40 25 30 18 First A B C D Second B A D В Third C D Fourth D C A A 1. Assign the poi values to each vote. Fill in the table below. Clubs 1 2 3 4 Number of Votes 40 25 30 18 First (4 pts) A В D Second (3 pts) A D Third (2 pts) D Fourth (1 pt) D C A A 2. Calculate the total points for each candidate. Show how you calculate each candidate's total points. А: В: С: D: 3. Under the Borda method, the winner is
Using the preference schedule below, who would win the elections if the Borda Count Method is used? Assume 1st choice = 4pts, 2nd choice = 3pts, 3rd choice = 2 pts and 4th choice = 1 pt. No. of voters 14 10 8 4 1 1st choice Abby Ced Dora Ben Ced 2nd choice 3rd choice Ben Ben Ced Dora Dora Ced Dora Ben Ced Ben 4th choice Dora Abby Abby Abby Abby O a. Abby O b. Ben Ос. Dora O d. Ced
Refer to the following preference schedule to answer parts (a) – (i). a. How many votes were cast? _________ b. How many votes are needed to receive a majority? ________ c. Find the plurality winner: _________Show work to support the selection process. d. Did the plurality winner also receive a majority? _________. e. Find the winner by a single runoff of the top two candidates: ________Show work to support the selection process below. f. Find the winner by a sequential runoff: ________Show work to support the selection process. g. Find the winner by a Borda count: ________Show work to support the selection process. h. Find the winner, if any, by the method of pairwise comparisons: ________Show work to support the selection process i. From the results of (a)-(h) is there a clear winner? Explain.
13. Use the following preference schedule to answer the following question: Using plurality-with-elimination, who was eliminated 1st?
The theater society members are voting for the kind of play they will perform next semester; a comedy (C), a drama (D), or a musical (M). Their votes are summarized in the following preference table. Which type of play is selected using the pairwise comparison method? Number of Votes 20 12 8 3 1 First Choice M C D C Second Choice C M C M D Third Choice M C comedy Tie between musical and drama drama musical Σ
An organization, with 200 members, is about to select their president. The nominees are Alisha (A), Ben (B), Caroline (C), Dave (D), and Ellazar (E). The summary of voting are as follows: number of votes: 25 20 28 12 18 25 19 18 20 15 1st choice A A B B E E 2nd choice B E А E A 3rd choice D A E E B A D В 4th choice E E B A. A 5th choice E B A D E C B A By instant run off, determine the order of elimination from first to last. O Ben >> Caroline >> Ellazar O Caroline >> Ben >> Ellazar Ellazar >> Ben >> Caroline Ellazar >> Caroline >> Ben
7)
Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the following ballots showing their preferences in order A B B BA B B B BA AB BCA C с DACA CD D D D D D C D D Second Which of the following preference tables correctly shows the results of the voting? Select one: O a. Number of Votes 2 2 First A B Third Fourth A C в BACA CCAD D Second O b. Number of Votes 2 2 First A B A Third D C 1 B A D C 1 B A D A 1 B с D A B C Fourth D D C O c. None of these is correct. d. Number of Votes 2 2 First D 2 A 2 C C 2 3 B C A D 3 B с A D 3 B D с C
A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 years. He mails a questionnaire on this subject to an SRS of 1600 voters in his state. His staff reports that 325 questionnaires have been returned, of these 241 respondents feel the Democratic Party is best qualified to lead the country over the next 10 years. Question: Please tell us: a) Population b) Sample

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Question 9 Use the following preference schedule to answer the following question: Using the Borda Count ranking method, which candidate comes in the last place? Voters 8 6. 9. 1st A A · C D 2nd B D C В 3rd C C A 4th A D O A O C O D O B B. A B. D.