37-41: Preference Schedules. Consider the following preference schedules:
a. How many votes were cast?
b. Find the plurality winner. Did the plurality winner also receive a majority? Explain.
c. Find the winner of a runoff between the top two candidates.
d. Find the winner of a sequential runoff.
e. Find the winner by a Board count.
f. Find the winner if any by the method of pairwise comparisons.
g. Summarize the results of the various methods of determining a winner. Based on these results, is there a clear winner? If so, why? If not, which candidate should be selected as the winner, and why?
The answers for 37 are:
a. A total of 66 votes were cast.
b. Is the plurality winner (but not by a majority).
c. D is the winner of the top-two runoff.
d. The winner of a sequential runoff is D.
e. D is the winner by the Board count.
f. D wins by the meth of pairwise comparisons.
g. As the winner by all five methods Candidate D is clearly the winner of the election.
Hello, tutors. Can you please write in good formatting. Please do not be sloppy. Watch grammar, SPELLING, etc. This is from Sacramento City College Math 140 Statistics and Probability. Thank you.
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 6 images
- 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.arrow_forwardA senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 38 52 40 26 30 45 Using the Borda count method, does the winner satisfy the majority criterion? Yes. Using the Borda count method, Elaine Garcia won the election, and she had a majority of first-place votes .Yes. Using the Borda count method, Raymond Lee won the election, and he had a majority of first-place votes. No. Using the Borda count method, Raymond Lee won the election, although Elaine Garcia had a majority of first-place votes. No. Using the Borda count method, Elaine Garcia won the election, although no candidate received a majority of first-place votes. No. Using the Borda count method, Raymond Lee won the election,…arrow_forward110 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method. Number of Votes First Choice Second Choice Third Choice Fourth Choice 42 35 20 13 В A A B A A В В D O o o Carrow_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_forward7)arrow_forwardSelect one of the following awards for this discussion: Academy Award for Best Picture Grammy Award for Best Album Heisman Trophy Nobel Peace Prize Pulitzer Price for Fiction For the award you selected, answer the following four questions: How are the nominees selected? Who votes? What type of voting is used? Remember the methods we studied in this unit - majority, plurality, plurality with elimination, Borda count method, Pairwise comparison method. Is one of these types of voting methods used or another method? Describe the method used. Who tabulates the results?arrow_forward
- Four candidates, Harrison (H), Lennon (L), McCartney (M), and Starr (S), are running for regional manager. After the polls close, ranked ballots are tallied, and the results are summarized in the table. Use the plurality method of voting to determine the winner. Harrison Lennon McCartney Starr Number of Ballots Cast 45 95 24 91 30 13 18 1st choice H L L M M S S 2nd choice L M S L L H M 3rd choice S H M H S L H 4th choice M S H S H M Larrow_forwardThere is a reunion of 25 years being held for old classmates. The large group is trying to pick who will play at the reunion for them. Their options are Reo (R), Boston (B), Journey (J), and Fleet (F). 1. Who is picked if Borda Count is used? 2. Who gets picked if Pairwise comparison is used? 3. If plurality method is used, who gets picked?arrow_forward
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON