Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Number of voters | 5 | 9 | 12 | 17 | 18 |
---|---|---|---|---|---|
1st choice | B | B | C | D | A |
2nd choice | C | D | B | C | D |
3rd choice | D | A | A | A | B |
4th choice | A | C | D | B | C |
How many votes were cast?
How many votes are needed for a majority?
If there is a tie for first place in any of the following election counts, enter the word "tie" (without quotes) as your response.
Find the winner using the Plurality method.
The winner is
Find the winner under the Borda Count. Use the count that assigns 1 point to last place.
The winner is
Find the winner using the Pairwise Comparison method.
The winner is
Find the winner using the Plurality-with-elimination (Instant Runoff) method.
The winner is
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- Number of voters 10 4 25 13 12 1st choice C D B A D 2nd choice A B A C C 3rd choice B A D D A 4th choice D C C B B Find the winner under Plurality with Elimination (Instant Runoff Voting)Winner =arrow_forward# of votes 2 2 1 3 First A B B A Second B C D B Third C D C D Fourth D A A C suppose the borda count method was used to determine the winner. Determine wether the majority criterion is satisfied. Yes or noarrow_forwardPlease very soonarrow_forward
- Consider the following election. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality Method, the winner of the election is Group of answer choices C D A Barrow_forwardA. Multiple-Choice Tests Professor Easy's final examination has 13 true-false questions followed by 2 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of six. How many answer sheets are possible? ____ = choices B. Marbles A bag contains three red marbles, four green ones, one lavender one, three yellows, and three orange marbles. How many sets of four marbles include all the red ones? ___ = sets ANSWER BOTH A and Barrow_forwardQuestion b) how many first place votes are needed for a majority?arrow_forward
- PLEASE HELP How many votes were cast?How many votes are needed for a majority?Which candidate is the winner using Plurality-with-elimination?Which fairness criteria, if any, were violated by using Plurality-with-elimination?arrow_forwardFirst Profile # of Voters C>D>B>A A>B>D>C Second Profile Ranking #of Ranking A 22-member committee is selecting a site for its next meeting. The choices are City A, City B, City C, and City D. Voters 7 C>D>B>A A>B>D>C A>B>C>D C>A>D>8 6. 5 A>B>C>D 5 4 D>C>B>A 4 (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 22 members rank the choices according to the first voter profile above. Show that City C is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the table below to demonstrate this. City A. Pairwise Comparison Points O (Type integers or decimals.) (b) The 4 committee members with the bottom ranking in the table rearrange their ranking after listening to the discussions. The other 18 committee members stick with their original rankings of the cities. For the official vote, the 22 members rank the choices according to the second voter profile above.…arrow_forwardUse the following information from a sample of 110 PCC students to answer the given question. P(PCC student opposes a tax cut given the student is Republican) Support a tax cut Oppose a tax cut Total Republican 35 19 54 Democrats 22 34 56 Total 57 53 110 Group of answer choicesarrow_forward
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