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.

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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.

 

 

37.
В
C
А
C
First
Second
A
А
A
Third
C
C
А
B
В
A
B
В
D
Fourth
Number of voters
20
15
10
8
7
Transcribed Image Text:37. В C А C First Second A А A Third C C А B В A B В D Fourth Number of voters 20 15 10 8 7
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