Consider the weighted voting system [9: 6, 5, 2] and the Shapely-Shubik Power distribution. Listed below are 5 of the 6 sequential coalitions. Find the pivotal player in the missing coalition. Group of answer choices P1 P2 P3 none are pivotal

Consider the weighted voting system [9: 6, 5, 2] and the Shapely-Shubik Power distribution. Listed below are 5 of the 6 sequential coalitions. Find the pivotal player in the missing coalition. Group of answer choices P1 P2 P3 none are pivotal

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 11CYU

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Use the Banzhaf power index to determine the power index for each player. Consider the voting system (16: 7, 6, 3, 3, 2). Use the winning coalitions below to find each player's power index. • {P1, P2, P3} • {P1, P2, P4) • • {P1, P2, P3, P4} {P1, P2, P3, P5} {P1, P2, P4, P5} • {P1, P2, P3, P4, P5} a b с d P1 = 37.5%, P2 = 35.5%, P3 = 12.5%, P4 = 12.5%, P5 = 2% P1 = 37.5%, P2 = 37.5%, P3= 10.5%, P4 = 12.5%, P5 = 0% P1 = 40%, P2 = 34%, P3= 12.5%, P4 = 12.5%, P5 = 0% P1 = 37.5%, P2 = 37.5%, P3= 12.5%, P4 = 12.5%, P5 = 0%
In a weighted voting system with three players the winning coalitions are {P1, P2} and {P1, P2, P3}. List the sequential coalitions and identify the pivotal player in each sequential coalition. Then, find the Shapley-Shubik power distribution of the weighted voting system. Im pretty sure these are the Coalitions: P1, P2, P3 P1, P3, P2 P2, P1, P3 P2, P3, P1 P3,P1, P2 P3, P2, P1 My question: How do we find the pivotal players when we have not assigned values to each player? please show me that process in detail and then how to do the Shapley-Shubik power distribution. Thank you
The students in a class get to decide on the color of the classroom. The two choices are blue and yellow. Polling shows yellow is preferred by a small majority, 53% for yellow to 47% for blue. However, before the vote is held, a new color choice is added: red. Not a lot of people like red, but there are some yellow supporters who would actually vote for red. The results of the vote are below. Blue Yellow Red 46% 44% 10% What statement below is correct about adding a third choice to the plurality vote? O a Ob Oc d Red did not win the vote, but it draws enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, but it had no effect on drawing enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, so because of this, yellow should win the vote over blue.…
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A biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match the strategies to their corresponding sampling techniques. The biologist goes to his 150 favorite hiking places and looks at an acres along each trail. v The biologist enters the 15 million acres into a data base and had a computer randomly select 150 of these acres. The biologist classifies the Sierras into 10 different ecological types and then makes sure that the proportion of each ecological type from the sample is the same as the proportion of that of the population. The biologist orders the 15 million acres by latitude and then surveys every 100000th acre on the list. | The biologist goes to 15 diverse locations that have 10 acres each and surveys all 10 acres for each of these 15 locations. a. Convenience Sampling b. Cluster Sampling c. Systematic Sampling d. Stratified Sampling e. Simple Random Sampling
Use the Bucklin voting method to determine the winner and compare it to the plurality method. Who wins the Bucklin vote and the single candidate vote? There are 7 voters and the candidates need 4 votes to win. There are 5 candidates for the house of representatives and you have to rank them by preference. Voters A B D E F G Emilio | Hannah Richard Melissa Howard Howard Emilio Howard 1st 2nd Howard Hannah Emilio Emilio Richard Melissa 3rd Melissa Emilio Melissa Richard Richard Hannah Richard 4th Hannah Richard Emilio Howard Hannah Emilio Howard 5th Richard Melissa Howard Hannah Melissa Melissa Hannah a Bucklin method: Howard wins with 5, Plurality: There is no winner b Bucklin method: Melissa wins with 4, Plurality: There is no winner Bucklin method: Richard wins with 4, Plurality: There is no winner d. Bucklin method: Emilio wins with 5, Plurality: There is no winner O000
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A pet store owner wants to know if a new commercial will bring in more people than the old one. Out of a focus group of 500 randomly selected viewers, 250 watch the new commercial and 250 watch the old one. The owner then has each group rate the commercials. Which is the control group?
Your Question: 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 preferred to A : A vs. DVotes where A is preferred to D : Votes where D is preferred to A : B vs. CVotes where B is preferred to C : Votes where C is preferred to B : B vs. DVotes where B is preferred to D : Votes where D is preferred to B : C vs. DVotes where C is preferred to D : Votes where D is preferred to C : Tally the results:Points for A: Points for B: Points for C: Points for D: Who is the winner? A B C D There is a tie
Your class gets to elect a representative for the school council. The two choices are Lizzy and Michael. Polling of the class shows that Polly is preferred by 53% to 47% over Michael. However, before the vote is held, a new choice for representative is put forth by a student: Rodney. Many of the students that prefer Polly, would rather have Rodney. The results of the vote are below. Michael 45% Polly Rodney 35% 17% What statement below is correct about adding a third choice to the plurality vote? Rodney did not win the vote, but it had no effect on drawing enough support away from Polly to make Michael the winner, even though a majority of students preferred Polly over Michael when there were two choices. Rodney did not win the vote, but it draws enough support away from Polly to make Michael the winner, even though a majority of students preferred Polly over Michael when there were two choices. Rodney did not win the vote, so because of this Polly should win the vote over Michael. a…
A researcher surveys 200 randomly selected college students to determine the number of education majors and mathematics majors. 16% of the students surveyed are education majors and 6% of the students surveyed are mathematics majors. 2% of the students are both education majors and mathematics majors. What percentage of the students surveyed are education majors or mathematics majors?