Use Hare System to determine the winner of the following election:Number of Voters (21)6BFirstSecondThirdFourth7ABCDACD5CBAD3DсBANow, modify the ballot on the far right (with 3 voters) so that the winner is inFirst place. Does the winning candidate still win? What can we conclude from thisabout the Hare System?

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Answered: Use Hare System to determine the winner…

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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In 2012 American Idol completed its 11th season withJennifer Lopez, Steven Tyler, and Randy Jackson asjudges. Although the judges express their opinions aboutthe contestants’ performances, viewers vote to keep theirfavorites in the competition. During each episode, hostRyan Seacrest explains how viewers can vote via text,phone call, or online. Nothing prevents a viewer fromsubmitting multiple votes. Each week the contestant with the lowest number of votes is removed from the com-petition. Why are the results not a true depiction of all Americans’ musical preferences?A) Undercoverage biasB) Voluntary response biasC) The judges’ comments influence voters’ opinions.D) Since some voters may vote multiple times, one votedoes not correspond to one person.E) All of the above.
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 713 employed persons and 613 unemployed persons are independently and randomly selected and that 338 of the employed persons and 244 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.…
Consider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what are the number of representative for each state if we use Adams Method?(Hint: Use Dm = 1200 ). Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A Urbinulla: 11 Konta: 3 Cyklos: 8 Pantou: 4 В Urbinulla: 12 Konta: 4 Cyklos: 8 Pantou: 4 Urbinulla: 12 Konta: 3 Cyklos: 9 Pantou: 4 Urbinulla: 11 Konta: 4 Cyklos: 8 Pantou: 5
Consider an election with three candidates with the results: (CBA) (ACB) (BAC) (BCA) 2 ,8, 7, 2 Who wins the election using the Borda count method?
A chamber of commerce election has 18 candidates for 7 positions. The election consists of two stages. In the first stage, there is an ordered election, with the president being selected first, followed by the vice-president, and then the treasurer, and finally the secretary. In the second stage, the remaining seats are considered 'at large' seats. All the remaining candidates are considered and the 'at large' seats are selected at the same time. How many possible board combinations are there? 1,113,840 margin of error +/- 2.5%
An opinion poll contacts 1021 adults and asks them, which political party do you think has better ideas for leading the country in the twenty first century? In all, 723 of the 1021 day, the democrats. The sample in the setting is? (a) all 220 million adults in the U.S. (b) the 1022 people interviewed (c) the 723 people who chose the democrats.
A building contractor has a chance to buy an odd lot of 1,000 used bricks at an auction. She is interested in determining the proportion of bricks in the lot that are cracked and therefore unusable for her current project, but she does not have enough time to inspect all 1,000 bricks. Instead, she checks 150 bricks to determine which ones are cracked. What is the population of interest? all building contractors all 1,000 bricks in the lot the rest of the 850 bricks the 150 bricks selected for inspection the rest of the 700 bricks What group constitutes the sample? the 150 bricks selected for inspection all building contractors the rest of the 700 bricks all 1,000 bricks in the lot the rest of the 850 brickS Submit Answer
Number of voters 9 8 10 4 17 1st choice В A C A 2nd choice C 3rd choice D C A C A 4th choice A D В В Find the winner under Plurality with Elimination (Instant Runoff Voting) Winner = Enter text Imore 1
A student is taking a multiple-choice exam in which each question has four choices A, B, C, and D. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are 15 multiple-choice questions on the exam. What is the probability that she will get all 15 questions correct? at least 10 questions correct? no questions correct? no more than 5 questions correct?
The members of a town board are holding an election to select a company to maintain the property at the town park. The choices are: • Lucky Lawn (L), • Trawick Landscape (T), • Johnson's Lawncare (). The 15 board members ranked their choices and used the Borda count method to make their selection. What are the results using the Borda method? Does this violate the majority criterion? Number of votes 8 2 First L Second Third a Lucky Lawn = 33, no violate the majority criterion. b Trawick Landscape = 37, yes, it violates the majority criterion. C Lucky Lawn = 8 first place votes and it does not violate the majority criterion. d. Trawick Landscape = 7 first place votes and it does not violate the majority criterion. %3D O O O O
2. Let A 3 {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1,9, е, а, с, 0}, and C 3D {2, с, 10, 9, 8, — 4, 11, е, 3, 0}. Find AПВ, AUB, А-С, Вnc

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