1. According to the National Institute of Health, about 37% of high school seniors have vaped in the past year. Suppose that a survey contacts an SRS of 400 high school seniors and calculates the sample proportion, p , in this sample who have vaped in the past year. a. What is the mean of the sampling distribution of p ? b. Find the standard deviation of the sampling distribution of p. Round to the nearest thousandth. c. Draw the curve of the sampling distribution of p. d. What is the probability, in an SRS of 400 high school seniors, that between 35% and 40% of them have vaped in the past year? e. If the sample size were 900 rather than 400, how would this change the curve of the sampling distribution p?