The mayor of the city of Meyerville is interested in developing a recreational area around a small man made lake that would involve walking trails, a fishing pier, a playground, and a picnic area. The mayor of the city has indicated that he would proceed with the development of this recreational area if more than 65 percent of the adult population of the city supports this development. A random sample of 2500 adult residents will be surveyedto determine the level of support for this development. Let X represent the number of adult residents in the random sample who would support the development and assume that X can be modeled by a binomial distribution. A.)Using the assumption that 65% of the city’s adult population really would support this development, findthe mean and the standard deviation of the number of adults who would support this development. Show your work.

B.)What is theprobability that at least 1650 adults out of the sample of 2500 adults would support this development?Show your work.