13. Copeland's rule is a voting system that, like Condorcet's method, looks at one-on-one contests. It, however, takes as the election winner the candidate with the best "win-loss record." Use the following ballots to show that Copeland's rule is manipulable: Election 1 a. Who is the winner of Election 1? Number of voters (4) first A C second В E third C fourth В DBEC

Democratic and Republican presidential state primary elections differ in the way winning candidates are awarded delegates. In Republican states, the winner is awarded all the state's delegates; conversely, the Democratic state winner is awarded delegates in proportion to the percentage of votes. This difference led to an article on making your vote count. Consider scenario where you are one of five county commissioners voting on an issue, where each commissioner is equally likely to vote for or against. Complete parts and b below. a. Your vote (the decisive vote) counts only if the other four voters split, 2 in favor and 2 against. Use the binomial distribution to find the probability that your vote counts. The probability that your vote counts is 0.375. (Type an integer or a decimal. Do not round.) b. If you convince two other commissioners to "vote in bloc" (all agree to vote among yourselves first, and whatever the majority decides is the way all three will vote, guaranteeing that…

A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the years 1990 and 1995. State A B C D E F G 1990 Population 1283 2374 2725 2155 1592 2511 2017 1995 Population 1347 2469 2847 2220 1640 2611 2078 Does the population paradox occur using Hamilton's method of apportionment? Select one: a. Yes b. No

.(20)Use plurality, Borda and Hare methods to decide who wins:        5     4     3     2     1 1st    A       B       C       D       D 2nd   B       C       D       A       B 3rd    D       D       A       B       C 4th     C       A       B       C       A

Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 400 voters finds that 208 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? Based on your result, comment on the dangers of using exit polling to call elections. 5: 5 on (7: StatC Comment on the dangers of using exit polling to call elections. Choose the correct answer below. O A. The result is not unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if exit polling alone is considered. O B. The result is unusual because the probability that p is equal to or more extreme than the sample proportion is less than…

2. A survey on a sample of 35 new cars being sold at a local auto dealer was conducted to see which of three popular options: Air-conditioning (A), Bluetooth (B), and Rear Camera (C), were already installed. The survey found: 18 had A, 13 had B, 12 had C, 5 had A and B, 8 had A and C, 6 had B and C, 4 had all three options. Find the number of cars that had (a) A and B but not C, (b) A and C but not B, (c) B and C but not A; (d) only one of the options; (e) at least one option; (f) exactly two options; (g) none of the options.