7.-9. What are the three criteria of fairness for an apportionment?10. The theory which states: Any apportionment method either will violate the quota ruleor will produce paradoxes.11. It is the number of votes required for a/an issue/candidate to pass/win.12. It is the value of (PA), where PA is the population of state A and a is the currenta(a+1)'number of representatives from state A.13. It is a voting method that the n candidates or issues in an election were ranked by givingn points.14. The criterion of fairness of voting which states: A candidate who wins all possible head-to-head matchups should win an election when all candidates appear on the ballot.15. The criterion of fairness of voting which states: If a candidate wins an election, thewinner should remain the winner in any recount in which losing candidates withdrawfrom the race.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. What is violated if three unassigned seats are all given to just one state after the Hamilton method of apportionment is applied? Apportionment Principle Relative Unfairness of Apportionment Quota Rule Absolute Unfairness of Apportionment
1. A teacher administers a multiple-choice quiz with four questions and four possible answers: a, b, c, and d. What is the bare minimum of students required in the class to ensure that at least three answer sheets are identical?2. What is the minimum number of students from each of the 15 regions who must be enrolled in a university to ensure that there are at least 52 from the same region?
1) find the mode of regions for the states that voted for the Democratic and for the Republic respectively and explain the findings.
Two construction companies, Giant and Sky, bid for the right to build in a field. The possible bids are $ 10 Million, $ 20 Million, $ 30 Million, S 35 Million and S 40 Million. The winner is the company with the higher bid. The two companies decide that in the case of a tie (equal bids), Giant is the winner and will get the field. Giant has ordered a survey and, based on the report from the survey, 1 concludes that getting the field for more than $ 35 Million is as bad as not getting it (assume loss), except in case of a tie (assume win) Sky is not aware of this survey. (a) State reasons why/how this game can be described as a two-players zero-sum game [
A small country consists of three states, whose populations are listed below.A: 6,000 B: 6,000 C: 2,000a. If the legislature has 10 seats, use Hamilton’s method to apportion the seats.b. If the legislature grows to 11 seats, use Hamilton’s method to apportion the seats.c. Which apportionment paradox does this illustrate?
5. A vote is to be taken among the residents of a town and the surrounding county to determine whether a proposed chemical plant should be constructed. The construction site is within the town limits, and for this reason many voters in the county believe that the proposal will pass because of the large proportion of town voters who favor the construction. To determine if there is a significant difference in the proportions of town voters and county voters favoring the proposal, a poll is taken. If 120 of 200 town voters favor the proposal and 240 of 500 county residents favor it, would you agree that the proportion of town voters favoring the proposal is higher than the proportion of county voters? Use an α = 0.05 level of significance.
1. In how many different ways can the director of a design and structural department choose 2 Civil Engineers from among 7 applicants and 3 Environmental and Sanitary Engineers from among 9 applicants?
I I am using the HARE method, would I choose B as the winner since B has more than 50% of total votes in the 2nd round? 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
Three partners are dividing a piece of land worth $81,000 among themselves using the lone-divider method.The following table shows the value of the parcels in the eyes of each partner S1 S2 S3 Rita $28,000 $21,000 $32,000 Tammy $26,000 $24,000 $31,000 Stu $27,000 $27,000 $27,000 The table indicates that ["", "", ""] was the divider. Tammy finds ["", "", "", ""] to be fair. A fair resolution according to Lone Divider would be ["", "", ""]
Correct Suppose a software company wants to form a new 36-person committee for a new project. There are 136 employees in the sales department, 103 employees in the development department, and 174 in the design department. Use the Huntington-Hill method to determine the allocation of committee members based on department size.
The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to CSI: Shoboygan. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 12 households have TV sets in use at the time of a CSI: Shoboygan broadcast.
Solve using " Pigeonhole Principle "(a) There are 7 different time periods in a day during which classes at BRAC University can bescheduled. If there are 597 classes of different courses held per day, what is the minimumnumber of classrooms that will be needed? (b) What is the minimum number of students, each of whom comes from one of the 64 districtsof Bangladesh, which must be enrolled in BRAC University to guarantee that there are at least200 who come from the same district?

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