You are polling people to find their favorite sport between Table Tennis and Badminton in your town. Whichever wins will become the official sport of your town! Right now, badminton is ahead of table tennis, and you are worried because you want table tennis to win (it is your favorite sport). Votes are tallied by districts, and there is only one district left to count: if table tennis wins a plurality of the votes in this district, table tennis will win overall in the entire town. This district has n people. You know each person votes for table tennis, badminton, or base- ball with probability 0.6, 0.3, and 0.1, respectively, and each vote is independent. Assume baseball won't win (i.e., the votes for baseball are ignored because the people counting the votes are so sure it won't win). You would be relaxed if you knew that table tennis would win with 95% certainty. Using the CLT, for which a would table tennis win with 95% probability? Hint: 4-(0.05) ~ -1.65, where o is the standard Gaussian CDF