A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 4 1 3 Elaine Garcia 1 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 37 51 40 27 31 41 Using the Borda count method, does the winner satisfy the majority criterion? O Yes. Using the Borda count method, Elaine Garcia won the election, and she had a majority of first-place votes. Yes. Using the Borda count method, Raymond Lee won the election, and he had a majority of first-place votes. O No. Using the Borda count method, Raymond Lee won the election, although Elaine Garcia had a majority of first-place votes. No. Using the Borda count method, Elaine Garcia won the election, although no candidate received a majority of first-place votes. O No. Using the Borda count method, Raymond Lee won the election, although no candidate received a majority of first-place votes.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 {9: 8, 7, 1}. In this voting system, the head coach A has a weight of 8, the assistant coach B has a weight of 7, 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. O Winning coalitions often include support of different weight. O The weightings for the minor coaches are different, so are their critical votes. O As to forming a winning coalition, the two minor coaches are the same