1. WDRB in the morning: Poll reveals Americans' favorite, and most hated, vegetables. According to a report by Fox News, a survey in 2019 asked U.S. residents to identify their favorite vegetable. Some of the results were that 91.4% of survey respondents said that corn was among vegetables they like, potatoes had 91.2% approval, carrots and tomatoes tied for third at 89%, and broccoli had 85% approval. Suppose that 85% of all U.S. residents actually like broccoli. a) (3 pts.) What are the mean and standard deviation of the sampling distribution of sample proportions for random samples of 2000 U.S. residents who say they like broccoli? Show how you obtained these numerical values, i.e., show all work for full credit