At the beginning of each football season, the coaching staff at Vista High School must vote to decide which players to select for the team. They use the weighted voting system {8: 7, 6, 1}. In this voting system, the head coach A has a weight of 7, the assistant coach B has a weight of 6, and the junior varsity coach C has a weight of 1. (a) Compute the Banzhaf power index for each of the coaches. (Round your answers to the nearest hundredth.) BPI(A) = BPI(B) = BPI(C

At the beginning of each football season, the coaching staff at Vista High School must vote to decide which players to select for the team. They use the weighted voting system {8: 7, 6, 1}. In this voting system, the head coach A has a weight of 7, the assistant coach B has a weight of 6, and the junior varsity coach C has a weight of 1. (a) Compute the Banzhaf power index for each of the coaches. (Round your answers to the nearest hundredth.) BPI(A) = BPI(B) = BPI(C

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Description: At the beginning of each football season, the coaching staff at Vista High School must vote to decide which players to select for the team. They use the weighted voting system {8: 7, 6, 1}. In this voting system, the head coach A has a weight of 7, t

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 8E

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At the beginning of each football season, the coaching staff at Vista High School must vote to decide which players to select for the team. They use the weighted voting system {5: 4, 3, 1}. In this voting system, the head coach A has a weight of 4, the assistant coach B has a weight of 3, and the junior varsity coach C has a weight of 1. (a) Compute the Banzhaf power index for each of the coaches. (Round your answers to the nearest hundredth.) BPI(A) = BPI(B) = BPI(C) = (b) Explain why it seems reasonable that the assistant coach and the junior varsity coach have the same Banzhaf power index in this voting system. Winning coalitions often include support of different weight.As to forming a winning coalition, the two minor coaches are the same. The weightings for the minor coaches are different, so are their critical votes.
. Find the Banzhaf Power Distribution of a weighted voting system with four players in which the winning coalitions (with critical players highlighted) are {P1, P2, P3}, {P1, P2, P4}, {P1, P2, P3, P4}. Enter your answer as a percentage to two decimal places.
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