10)Consider the following election with five candidates and 21 voters.a) Use the Hare System to identify the winner.FirstSecondThirdFourthFirstSecondThirdFourth7A7ABCDBCD6BAC6b) This second election is evidence that Hare System FAILS to satisfy one of the criteria.Which one criterion? Please explain. (Notice the rightmost column!)DBCD5сBAD5CBAD3DCBA3ADCB

Hare System: Firstly find the majority and tally the 1st place votes. The candidate is declared a…

Answered: 10) Consider the following election…

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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From 35 candidates, 4 officers are elected. This is an example of ... A. Permutation because the order of which officer gets elected first, second, third, and last matters. B. Combination because the order of which officer gets elected first, second, third, and last does not matter. c. Combination because the order of which officer gets elected first, second, third, and last matters. d. Permutation because the order of which officer gets elected first, second, third, and last does not matter.
Number of voters 15 14 9 12 28 1st choice D A D C B 2nd choice B C A D D 3rd choice C D B B C 4th choice A B C A A Based on the sample of votes recorded:Who is the winner of the election using the Plurality method?Winner is Is there a Condorcet winner of the election? Enter None if there is no Condorcet winner.Winner is Was the head-to-head fairness criterion violated?
. Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items a house and a car - using the method of sealed bids. The players' bids (in dollars) are: House Car A B 230000 235000 28000 33000 с 225000 32000 The original fair share of A is worth: $ In the initial allocation, player A: Select an answer D 223000 30000 and Select an answer the estate $ After all is said and done, in the final allocation, Select an answer player A: and Select an answer the estate $
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A bucket has 4 blue ping pong balls, 3 pink ping pong balls and 7 yellow ping pong balls. One ping pong ball is chosen at random from the bucket. Determine the probabyof each of the following. a. P (blue ping pong ball) b. P (yellow ping pong ball) c. P ( not a pink ping pong ball)
i) A public opinion surveyed a simple random sample of 1000 voters. Respondents were classified by gender (male or female) and by voting preference (Average, Good, or Excellent). Results are shown in the contingency Table 4 below. Voting Preferences Total Average Good Excellent Male 210 120 70 400 Female 200 350 50 600 Total 410 470 120 1000 Make a clustered bar chart to show all the possibilities of voting preferences when gender is known. NOTE: DO NOT SOLVE ON EXCEL AND CLASSIFY EACH STEPS
1. Number of voters 11 9 14 1st choice B A C 2nd choice C B B 3rd choice A C A Find the winner of this election under the plurality method.Winner = 2. Number of voters 7 7 6 5 7 10 1st choice B B D C C A 2nd choice A C A B D C 3rd choice D A B D B D 4th choice C D C A A B Find the winner of this election under the plurality method.Winner = 3. Number of voters 4 13 14 1st choice B C A 2nd choice C B B 3rd choice A A C Find the Condorcet Candidate, if there is one. If there is not a Condorcet Candidate, enter noneCondorcet Candidate = 4. Number of voters 13 14 18 9 1st choice D B A C 2nd choice B C D D 3rd choice C A B A 4th choice A D C B Find number of points Candidate D receives under Pairwise Comparison (Copeland's Method)Points = Find the winner of this election under Pairwise Comparison (Copeland's Method)Winner = 5. Number of voters 21 15 17 14 22 31 1st choice C D A C A B 2nd choice B A D…
Junk mail Direct mail advertisers send solicitations(a.k.a. “junk mail”) to thousands of potential customersin the hope that some will buy the company’s product. The acceptance rate is usually quite low. Suppose a com-pany wants to test the response to a new flyer, and sends it to 1000 people randomly selected from their mailinglist of over 200,000 people. They get orders from 123 ofthe recipients.a) Create a 90% confidence interval for the percentage ofpeople the company contacts who may buy something.b) Explain what this interval means.c) Explain what “90% confidence” means.d) The company must decide whether to now do a massmailing. The mailing won’t be cost-effective unless it produces at least a 5% return. What does your confi-dence interval suggest? Explain.
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?
A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 221 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the table below. Shirt Jacket Male 97 16 Female 84 24 Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee is female and prefers a shirt? (b) What is the probability that the employee is female or prefers a shirt?
.(20)Use plurality, Borda and Hare methods to decide who wins: 5 4 3 2 1 1st A B C D D 2nd B C D A B 3rd D D A B C 4th C A B C A
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?

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