Hello, here is a question for Probability and Statistics. Please show the solution with full explanation. Thank you.

1. Assume that 65% of the population of a city are against building a new high rise building in the city and the remaining 35% support the idea. A survey is conducted on 500 people from the population. Assume that these 500 people were chosen randomly. a) Is the sampling distribution of the sample proportion of people who are in favor of the idea approximately normal? b) What is the mean? c) What is the standard deviation? d) What is the probability the proportion favoring the idea is more than 30%