Answer all questions with explanation

7. Suppose the percent of Harley Davidson motorcycle owners are 15% in the United states. Take a random sample of size 500 people. i) Describe the sampling distribution of sample proportion of Harveys by stating the shape, center, and the standard deviation. ii) Find the probability that a sample proportion exceeds 13% of Harveys. iii) Find the range of sample proportions to be in the middle 80% area