A country consists of four distracts, A, B, C, and D, whose populations are 70 thousand, 60 thousand, 30 thousand, and 10 thousand, respectively. Each district has one representative in the County Council, and casts a number of votes equal to the population, in tens of thousands, of his or her district; thus the district A casts 7 votes, district B casts 6 votes, district C casts 3 votes, and district D casts 1 vote. 10 votes must be cast in favor of a motion in order to pass it. Thus the voting system is, [10:7,6,3,1] a) Fill out the following table: District Banzhaf power index (as a percentage) Percentage of total country population A B C D b) According to Banzhaf, which district or districts have a percentage of actual power which is less than their percentage of the total county population? According to Banzhaf, which district or districts have a percentage of actual power which is greater than their percentage of the total county population? c) Based on your answers to parts (a) and (b) of this problem, are there any districts which would be outraged at being unjustly deprived of their fair percentage of the total power on the Council? What argument could such a district give to support its claim that it deserves more power?