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Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

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Section
BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Criminal Justice In a criminal trial, each of the 12 jurors has one vote and all of the jurors must agree to reach a verdict. Otherwise (he judge will declare a mistrial.

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 he Banzhaf power index for each voter.

(a)

To determine

Write the weighted voting system, in the form {q:w1,w2,w3,w4,........,w12,} , used by these jurors.

Explanation

Given Information:

Weighted voting system

Concept used:

In a criminal trial, each of the 12 jurors has one vote and all of the jurors must agree to reach a verdict.

Calculation:

Weighted voting system used by the jurors is {12:1,1,1,1,1,1,1,1,1,1,1,1}

(b)

To determine

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

(C)

To determine

Is this weighted voting system a veto power system?

(d)

To determine

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

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