This is not related to a data file; use the numbers given in the question. In a certain city, 51.2% of the population support the current mayor. A random sample of 886 voters was surveyed. The count of supporters was less than or equal to 427. a) [1 point] What is the probability of such a sample? Use the binomial distribution, show 4 decimals. b) [1 point] What is the expected number of supporters in samples of this size? (show 2 decimals) c) [2 points] Is such a sample (up to 427 supporters among 886 voters) unlikely (prob. 5%) to be selected by chance? Does it indicate that the true population proportion is below 51.2%, above 51.2%, or close to 51.2%? Input the probability (a) in the Answer box, the answers for (b) and (c) in the second box. Example:Answer: 0.4321, units: 123.45, likely, close Your Answer: :JCJ Answer units