3. Below is the preference schedule for an election where the winner is determined by single runoff.FirstCACSecondCAAThirdACVoters913511(a) Which candidates will go to the runoff? Who wins the runoff?(b) Suppose that the 5 voters in the next to last column move A up to first place. (Just switch A and Cthere.) Which candidates go to the runoff now? Who wins now?(Bonus) Has Criterion 3 been met? Explain.

Voters and choices given We have to calculate winner by using runoff method.

Answered: 3. Below is the preference schedule for…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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brandon conducted a research to determine the preference of students during online classes. From the 250 students who participated in the study, 85 wanted to have synchronous classes, 90 wanted to have asynchronous classes, and 100 wanted to have blended learning. From the respondents, it was seen that 35 preferred either synchronous and asynchronous, 10 preferred synchronous and blended learning, 25 preferred blended learning and asynchronous, and exactly 55 liked two of the mode of learning. 1. How many students liked synchronous, asynchronous, and blended learning? 2. How many students liked synchronous learning, but did not preferred asynchronous or blended learning? 3. How many students did not like either of the three modes of learning? 4. Draw the initial and final Venn diagram.
A weighted voting system is given by [q : 5, 2, 2], where the voters are A, B, and C. List all the possible values of q satisfying the quota restriction. For each of these values of q, determine the voters that have veto power.
The Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Using the agenda ABCD, who is the pairwise sequential winner?
Here is the preference schedule for a recent election among four candidates: Number of voters 1 4 7 23 11 5 10 1st choice X X F F B F K 2nd choice K F X B K K X 3rd choice B K B X F X B 4th choice F B K K X B F How many voters voted in this election? How many first place votes are needed for a majority? Which candidate/choice had the most first-place votes? Which candidate/choice has the least first-place votes? Which candidate/choice had the most last-place votes? Which candidate/choice has the least last-place votes? Question 6 : Number of voters 21 21 10 34 38 16 1st choice C D B A C A 2nd choice B A C B A D 3rd choice A B A D B B 4th choice D C D C D C Find the winner of the election using the Pairwise Comparison method. For each comparison, enter the number of times each candidate was preferred to the other.A vs. BVotes where A is preferred to B : Votes where B is preferred to A : A vs. CVotes where A is preferred to C : Votes where C is…
The UCLA Graduate Student Association can use an instant runoff or a Bordacount method (but not both) when there are three or more candidates for office. The currentElection Board has up to 16 voters. Suppose three candidates are up for the Office of OfficialAwesomeness (Hey, give me a break - this is the last question!) Iris (I), Orchid (O), and Violet(V).(a) How many different preferences are possible?
2. A fraternity votes to choose a service project--visiting nursing homes, reading with children in elementary schools, or cleaning up a stretch of highway. Their preference rankings are as follows: Number of Voters 3 1 4 8 2 Visiting nursing homes 1 1 2 3 2 Reading with children 2 3 1 1 3 Cleaning highway 3 2 3 2 1 Is there a Condorcet winner? If there is no Condorcet winner, is there a Weak Condorcet winner? Show the work you do in deciding, including vote totals, and state your conclusion.
Suppose that the plurality with elimination method is used on the following preference table. If the 5 voters who voted A, C, B, in that order, change their votes to C, A, B, determine if the monotonicity criterion satisfied. Number of Votes 2 4 5 11 First A B A C Second B C C A Third C A B B Is the monotonicity criterion satisfied?
Troye teaches two undergraduate Accounting courses at UST. The class for Income Taxationconsists of 6 sophomores and 4 juniors. The more advanced course, Business Taxation, has 7sophomores and 2 juniors. As an example of a business sampling technique, Professor Shanerandomly selects, from the stack of Income Taxation registration cards, the class card of onestudent and then replaces the card in the stack. If that student was a sophomore, Shane drawsanother card from the Income Taxation stack; if not, she randomly draws a card from the BusinessTaxation group. What is the probability of: Interpret your answers. a. A junior’s name on both draws?b. A junior’s name on the first draw?c. A sophomore’s name on both draws?d. A junior’s name on the second draw, given that a sophomore’s name was drawn on first? 2. P(ace or jack)?3. P(club or non-club)?4. P(club or black)?5. P(heart or red card)?6. P(club or spade)?
The mathematics department is hiring a new faculty member and the five person hiring committee has interviewed our candidates Adam, Carol and On They decided to send the five ballots (reproduced in the following table). Who gets the offer?
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