According to the US Census Bureau's American Community Survey, 87, percent of Americans over the age of 25 have earned a high school diploma. Suppose we are going to take a random sample of 200 Americans in this age group and calculate what proportion of the sample has a high school diploma. a) What is the expected number of people in the sample with a high school diploma? b) What is the expected number of people in the sample without a high school diploma? c) Based on the answers in a) and b), Can the sampling distribution be approximated by a normal distribution? d) What is the mean of the sampling distribution ? e) What is the standard deviation of the sampling distribution ? f) What is the probability that the proportion of people in the sample with a high school diploma is less than 85%?