Math

Mathematical Excursions (MindTap Course List)Criminal Justice In California civil court cases, each of the 12 jurors has one vote and at least 9 of the jury members must agree on the verdict. a. Write the weighted voting system. in the form { q : w 1 , w 2 , w 3 , w 4 , ... , w 12 } , used by these jurors. b. Is this weighted voting system a one-person, one-vote system? c. Is this weighted voting system a veto power system? d. Explain an easy way to determine the Banzhaf power index for each voter. A voter who has a weight that is greater than or equal o the quota is called a dictator. In a weighted voting system, the dictator has all the po4er. A voter who is never a critical voter has no power and is referred to as a dummy. This term is not meant to be a comment on the voterâ€™s intellectual powers: it just indicates that the voter has no ability to influence an election.BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.3, Problem 18ES

Textbook Problem

Criminal Justice In California civil court cases, each of the 12 jurors has one vote and at least 9 of the jury members must agree on the verdict.

a. Write the weighted voting system. in the form

b. Is this weighted voting system a one-person, one-vote system?

c. Is this weighted voting system a veto power system?

d. Explain an easy way to determine the Banzhaf power index for each voter.

A voter who has a weight that is greater than or equal o the quota is called a dictator. In a weighted voting system, the dictator has all the po4er. A voter who is never a critical voter has no power and *is* referred to as a dummy. This term is not meant to be a comment on the voterâ€™s intellectual powers: it just indicates that the voter has no ability to influence an *election.*

Mathematical Excursions (MindTap Course List)

Ch. 4.1 - Verify this apportionment using the Jefferson...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Give each state one representative. Use the...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Explain how to calculate the standard divisor of...Ch. 4.1 - Teacher Aides A total of 25 teacher aides are to...Ch. 4.1 - In the Hamilton apportionment method, explain how...Ch. 4.1 - What is quota rule?Ch. 4.1 - Governing Boards The following table shows how the...Ch. 4.1 - Forest Rangers The table below shows how the...

Ch. 4.1 - Sales Associates The table below shows the number...Ch. 4.1 - Hospital Interns The table below shows the number...Ch. 4.1 - House of Representatives The U.S. House of...Ch. 4.1 - College Enrollment The following table shows the...Ch. 4.1 - Medical Care A hospital district consists of six...Ch. 4.1 - What is the Alabama paradox?Ch. 4.1 - What is the population paradox?Ch. 4.1 - What is the new states paradox?Ch. 4.1 - 15. What is the Balinski-Young Impossibility...Ch. 4.1 - Apportionment of Projectors Consider the...Ch. 4.1 - Hotel Management A company operates four resorts....Ch. 4.1 - College Security A college apportions 40 security...Ch. 4.1 - Management Scientific Research Corporation has...Ch. 4.1 - Education The science division of a college...Ch. 4.1 - Elementary School Teachers The following table...Ch. 4.1 - Social Workers The following table shows the...Ch. 4.1 - Computer Usage The table below shows the number of...Ch. 4.1 - The population of Illinois increased by over...Ch. 4.1 - 25. The population of Louisiana increased 1.4%...Ch. 4.1 - House of Representatives Currently. the U.S. House...Ch. 4.1 - Computer Usage Use the Webster method to apportion...Ch. 4.1 - Demographics The table below shows the populations...Ch. 4.1 - Which of she following apportionment methods can...Ch. 4.1 - According to Michael Balinski and H. Peyton Young,...Ch. 4.1 - 31. What method is presently used to apportion the...Ch. 4.1 - 32. According to the 2010 census, what is the...Ch. 4.1 - John Quincy Adams, the sixth president of the...Ch. 4.1 - In the Huntington-Hill method of apportionment,...Ch. 4.1 - Deriving the Huntington-Hill Number The...Ch. 4.2 - Using the Borda method of voting, which flavor of...Ch. 4.2 - Instead of using the normal Borda method, suppose...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise 1 of...Ch. 4.2 - Can the assignment of points for first. Second,...Ch. 4.2 - Suppose the assignment of points for first,...Ch. 4.2 - What is the difference between a majority and a...Ch. 4.2 - Explain why the plurality voting system may not be...Ch. 4.2 - Explain how the Borda Count method of voting...Ch. 4.2 - Explain how the plurality with elimination voting...Ch. 4.2 - 5. Explain how the pairwise comparison voting...Ch. 4.2 - What does the Condorcet criterion say?Ch. 4.2 - Is there a best voting method? Is one method more...Ch. 4.2 - Explain why. if only two candidates are running,...Ch. 4.2 - Presidential Election The table below shows the...Ch. 4.2 - Breakfast Cereal Sixteen people were asked to rank...Ch. 4.2 - Cartoon Characters A kindergarten class was...Ch. 4.2 - Catering A 15-person committee is having lunch...Ch. 4.2 - Movies Fifty consumers were surveyed about their...Ch. 4.2 - Breakfast Cereal Use the Borda count method of...Ch. 4.2 - Cartoons Use the Borda count method of voting to...Ch. 4.2 - Catering Use the Borda count method of voting to...Ch. 4.2 - Class Election A senior high school class held an...Ch. 4.2 - Cell Phone Usage A journalist reviewing various...Ch. 4.2 - Baseball Uniforms A Little League baseball team...Ch. 4.2 - Radio Stations A number of college students were...Ch. 4.2 - Class Election Use plurality with elimination to...Ch. 4.2 - Cell Phone Usage Use plurality with elimination to...Ch. 4.2 - Campus Club A campus club has money left over in...Ch. 4.2 - Recreation A company is planning its annual summer...Ch. 4.2 - X-Men Movies Fans of the X-Men movies have been...Ch. 4.2 - Family Reunion The Nelson family is trying to...Ch. 4.2 - School Mascot A new college needs to pick a moscot...Ch. 4.2 - Election Five candidates are running for president...Ch. 4.2 - Baseball Uniforms Use the pairwise comparison...Ch. 4.2 - Radio Stations Use the pairwise comparison method...Ch. 4.2 - Does the winner in Exercise tic satisfy the...Ch. 4.2 - 32. Does the winner in Exercise 12 satisfy the...Ch. 4.2 - Does the winner in Exercise 2k satisfy the...Ch. 4.2 - Does the winner in Exercise 24c satisfy the...Ch. 4.2 - Does the winner in Exercise 17 satisfy the...Ch. 4.2 - Does the winner in Exercise 20 satisfy the...Ch. 4.2 - Election Three candidates are running for mayor. A...Ch. 4.2 - Film Competition Three films have been selected as...Ch. 4.2 - 39. Election A campus club needs to elect four...Ch. 4.2 - Scholarship Awards The members of a scholarship...Ch. 4.2 - Another method of voting is to assign a weight. or...Ch. 4.2 - Approval voting is a system in which voters may...Ch. 4.2 - Restaurants Suppose you and three friends. David,...Ch. 4.3 - Using the data in Example 1 on page 211, list all...Ch. 4.3 - For the data in Example I on page 211, calculate...Ch. 4.3 - Using the data in Check Your Progress 3 on page...Ch. 4.3 - For the data in Check Your Progress 3 on page 215,...Ch. 4.3 - Create a voting system with three members that is...Ch. 4.3 - Create a voting system with four members in which...Ch. 4.3 - Create a voting system with five members that...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Which, if any, of the voting systems in Exercises...Ch. 4.3 - Explain why it is impossible to calculate the...Ch. 4.3 - Music Education A music department Consists of a...Ch. 4.3 - Four voters. A, B. C, and D. make decisions by...Ch. 4.3 - Criminal Justice In a criminal trial, each of the...Ch. 4.3 - Criminal Justice In California civil court cases,...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Football At the beginning of each football season,...Ch. 4.3 - Football The head coach in Exercise 23 has decided...Ch. 4.3 - Consider the weighted voting system { 60:4,56,58...Ch. 4.3 - 26. Consider the weighted voting system {...Ch. 4.3 - Consider the weighted voting system { q:8,3,3,2 },...Ch. 4.3 - 28. a. In a weighted voting system, suppose that...Ch. 4.3 - Voter Intimidation and Tampering Consider the...Ch. 4.3 - UN Security Council The United Nations C Security...Ch. 4 - Education The following table shows the...Ch. 4 - Airline Industry The following table shows the...Ch. 4 - Airline Industry The table below shows how the...Ch. 4 - 4. Education The following table shows the number...Ch. 4 - Technology A company has four offices. The...Ch. 4 - Automobile Sales Consider the apportionment of 27...Ch. 4 - Music Company MusicGalore.biz has offices in Los...Ch. 4 - Building Inspectors A city apportions 34 building...Ch. 4 - Is the Hamilton apportionment method susceptible...Ch. 4 - Is the Jefferson apportionment method susceptible...Ch. 4 - Corporate Security The Huntington-Hill...Ch. 4 - Essay Contest Four finalists are competing in an...Ch. 4 - Ski Club A campus ski club is trying o decide...Ch. 4 - Campus Election Four students are running for the...Ch. 4 - Consumer Preferences A group of consumers were...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Homecoming Queen Three high school students are...Ch. 4 - Homecoming Queen In Exercise I. suppose Cynthia L....Ch. 4 - Scholarship Awards A scholarship committee must...Ch. 4 - A weighted voting system for voters A, B, C, and D...Ch. 4 - A weighted voting system for voters A. B. C. D....Ch. 4 - Calculate the Banzhaf power indices for voters A....Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - 25. Calculate the Banzhaf power indices for voters...Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Four voters. A. B. C. and D. make decisions by...Ch. 4 - Postal Service The table below shows the number of...Ch. 4 - Computer Allocation The following table shows the...Ch. 4 - High School Counselors The following table shows...Ch. 4 - A weighted voting system for voters A, B, C, D....Ch. 4 - Consumer Preference One hundred consumers ranked...Ch. 4 - Executives Preferences A company with offices...Ch. 4 - Exam Review A professor is preparing an extra...Ch. 4 - Budget Proposal A committee must vote on which of...Ch. 4 - Drama Department The four staff members. A, B,C,...Ch. 4 - Three voters. A. B. and C, make decisions by using...

Find more solutions based on key concepts

In problems 23-58, perform the indicated operations and simplify.
38.

Mathematical Applications for the Management, Life, and Social Sciences

Sketch the graphs of the equations in Exercises 512. x2y=1

Finite Mathematics

In Exercises 89-94, determine whether the statement is true or false. If it is true, explain why it is true. If...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

For Problems 55-94, simplify each numerical expression. Objectives 3-6 3[5(2)]2(49)

Intermediate Algebra

Find the absolute maximum and minimum values of f on the set D. f(x,y)=2x3+y4,D={(x,y)|x2+y21}

Calculus (MindTap Course List)

Terminology If data consist of names, labels, or categories with no implied criteria by which the data can be o...

Understanding Basic Statistics

Checkpoint 6 Worked-out solution available at LarsonAppliedCalculus.com Find the derivative of each function. y...

Calculus: An Applied Approach (MindTap Course List)

Shown is the graph of traffic on an Internet service providers T1 data line from midnight to 8:00 am. D is the ...

Calculus: Early Transcendentals

The total cost of repaying a student loan at an interest rate of r% per year is C = f (r). (a) What is the mean...

Single Variable Calculus: Early Transcendentals, Volume I

A sample is selected from a population with a mean of =40 and a standard deviation of =8 . If the sample has n=...

Statistics for The Behavioral Sciences (MindTap Course List)

The temperature at the point (x, y, z) in a substance with conductivity K = 6.5 is u(x, y, z) = 2y2 + 2z2. Find...

Multivariable Calculus

Finding a Limit In Exercises 17-42, find the limit, if it exists. limxxx2+1

Calculus: Early Transcendental Functions

Convert the expressions in Exercises 6584 to power form. x3

Applied Calculus

What is the defining characteristic of a repeated-measures or within-subjects research design?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens a...

Probability and Statistics for Engineering and the Sciences

Graphing Sine and Cosine Functions Graph the function. 10. f(x) = 1 + cos x

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Exercises You can use the following problems as a self-test on the material presented in this review. If you ca...

Essentials Of Statistics

Prove the statement using the , definition of a limit. 19. limx12+4x3=2

Single Variable Calculus

A variable electric current is given by the formula i=t212t+36, where t is in s. At what times is the current i...

Elementary Technical Mathematics

Solve the following exercises by using the sinking fund or amortization formula. Sinking fund payment
Sinking F...

Contemporary Mathematics for Business & Consumers

Exercises
25. Let be the multiplicative group of units . For each value of , use the results of Exercises an...

Elements Of Modern Algebra

Evaluate the integral. 0/3sin+sintan2sec2d

Single Variable Calculus: Early Transcendentals

Problems 25 through 30 refer to Figure 21. Figure 21 Find AB. Round to the nearest unit.

Trigonometry (MindTap Course List)

ADBC, ABDC, and mA=92. Find: a mB b mC c mD

Elementary Geometry For College Students, 7e

FAMILY COMPOSITION Consider the composition of a three-child family in which the children were born at differen...

Finite Mathematics for the Managerial, Life, and Social Sciences

when the improper integral exists. Laplace Transforms areused to solve differential equations. In Exercises 91-...

Calculus: Early Transcendental Functions (MindTap Course List)

Suppose a circle of radius r is inscribed in a rhombus, each of whose sides has length s. Find an expression fo...

Elementary Geometry for College Students

Relative Extrema and Points of Inflection In Exercises 71-78, find the relative extrema and the points of infle...

Calculus of a Single Variable

The following formulas are used in machine trade calculations. Rearrange the formulas in terms of the designate...

Mathematics For Machine Technology

Carefully draw the Fibonacci spiral composed of squares with sides of lengths 1,1,2,3,5,and8.

Mathematics: A Practical Odyssey

Is the following hypothesis testable, refutable, and positive? Explain your answer. Hypothesis: Married couples...

Research Methods for the Behavioral Sciences (MindTap Course List)

For the continuous function at the right and the given value N, how many points c satisfy the conclusion of the...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

As part of a study designed to compare hybrid and similarly equipped conventional vehicles. Consumer Reports te...

Statistics for Business & Economics, Revised (MindTap Course List)

Evaluating a Definite Integral In Exercises 23-34, evaluate the definite integral. ln2ln4ex1e2xdx

Calculus (MindTap Course List)

Let the function f be defined by y=fx, where x and fx are real numbers. Find f2, f-3, fk, and fk2-1. fx=-x3

College Algebra (MindTap Course List)

Matching In Exercise 5-8, match the vector field with its graph. [The graphs are labeled (a), (b), (c), and (d)...

Multivariable Calculus

With the gasoline time series data from Table 17.1, show the exponential smoothing forecasts using = .1. a. Ap...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Find the iterated integral for , where R is the first quadrant of the ellipse 4x2 + 9y2 = 36 and the transforma...

Study Guide for Stewart's Multivariable Calculus, 8th

Define plagiarism and explain the techniques that can be used to help avoid unintentional plagiarism.

Research Methods for the Behavioral Sciences (MindTap Course List)

Suppose that a sample of size 100 is to be drawn from a population with standard deviation 10. a. What is the p...

Introduction To Statistics And Data Analysis

In Problems 718 find two power series solutions of the given differential equation about the ordinary point x =...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Evaluate the following functional values. 123. cos(43)

Calculus Volume 1

Use truth tables to show that the argument forms referred to in 13-21 are valid. Indicate which columns represe...

Discrete Mathematics With Applications

46. After deducting grants based on need, the average cost to attend the University of Southern California (USC...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Round all answers to two decimal places. Using Exponential Models In Exercises S-15 through S-24, we use expone...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Theater Revenue. The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a fu...

Essentials Of Statistics For Business & Economics

In the following exercises, find each indefinite integral by using appropriate substitutions. 339. etanxsec2xdx

Calculus Volume 2