8. Find the Banzhaf Power Distribution of a weighted voting system with four players in which the winningcoalitions (with critical players highlighted) are{Р, Р2, Рз}, {Р1, Р2, Рд}, {Р1, Р2, Рз, Ра}.Enter your answer as a percentage to two decimal places.B110B2320B410

Given, Number of times P1 is critical = 3 Number of times P2 is critical = 3 Number of times P3 is…

Answered: 8. Find the Banzhaf Power Distribution…

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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2. A researcher wants to measure the job satisfaction levels of the employees of two fast food company located in Manila. The researcher has used a questionnaire consisting of ten questions related to job satisfaction levels of the employees. The researcher has used a rating scale from 1 to 4 where 1 is the lowest score and 4 is the highest score. So, a maximum score of 40 and a minimum score of 10 can be obtained. The researcher has randomly selected 15 employees from the first company and 17 employees from the second company. The scores obtained from these employees are given below: First Company: 32 40 31 33 32 30 30 32 31 32 34 32 38 32 28 Second Company: 25 28 23 27 24 26 27 22 25 26 34 25 23 22 29 27 24 Taking 5% as the alpha level, examine the significant difference in terms of job satisfaction level between the employees of the two companies.
1. Using the method of Pairwise comparison, who is the winner? 2. Using the Borda count method, which candidate comes in second?
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.…
6. To promote domestic consumption, Country A's government wants to determine the impact on household annual expenditures on consumption items if small stimulus checks were sent monthly over a one year period. To determine if these small stimulus checks would increase household expenditures on consumption items, it chose five households at random, determined their annual expenditure on consumption items for the year before and sent the stimulus checks for a year. The table below shows total amount of annual expenditure on consumption items by the households before and after receipt of the checks. Based on these observations, determine whether there would be a statistically significant difference in the mean annual expenditure on consumption items for the entire population of the Country A if this policy were adopted for the entire country. Use a level of significant of a = .01. Recipient 1 2 3 4 5 Before Receipt ($, in thousands) 63 38 70 65 62 After Receipt ($, in thousands) 65 42 68…
A firm employs 10 programmers, 8 systems analysts, 4 computer engineers, and 3 statisticians. A "team" is to be chosen to handle a new long-term project. The team will consist of 3 programmers, 2 systems analysts, 2 computer engi-neers and statistician (a)In how many ways can the team be chosen? (B)
Consider the weighted voting system [5: 3, 2, 1, 1], what is the weight of the coalition formed by P1 and P2? 5 3 7 4
In the weighted voting system [8: 6, 4, 3, 2], which player is pivotal in the sequential coalition P3, P2, P4, P₁ >?
2. Three friends decides whether to go to the night club on Friday night or not every week. The data of several votings is presented in the table. Andrey Bob Constantine | Final decision 1| yes | 2 | no 3 no 4 yes 5 yes yes yes yes yes yes no no yes no no no no yes no yes There is no more information about the voting system, the results of other polls are also unknown. Is their rule: 1) anonymous, 2) neutral, 3) monotone? Explain your answer.
A panel, composed of members of 3 political parties, has 60 Democrats, 64 Republicans, and 8 Greens. A committee is chosen from the panel that is proportional to the party members and relatively prime. If a two-person leadership team is chosen randomly from the committee, how many different pairs could be selected such that both members of the team are from the same party?
The University of the East Europe is interested in the overall performance of its students in the academic year 2020/2021. There were 1460 students registered for this academic year. The University decides to select a sample of 150 students from each of the 5 faculties- Science, Medicine, Law, Social Science and Humanities in proportion to the number of students in each faculty. iv). If the medical faculty has 584 students registered, calculate how many medical students would be part of the sample of 150.

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8. Find the Banzhaf Power Distribution of a weighted voting system with four players in which the winning coalitions (with critical players highlighted) are (P, Р2, Рз), (Р, Р2, Ра}, {P, Рz, Рз, Pa). Enter your answer as a percentage to two decimal places. B1 10 32 3 B4 10 20