a) (15 pts.) For each of parts of this problem, state whether the random variable listed is (A) discrete or continuous. (B) If discrete, does the Binomial reasonably apply? If continuous, does the Normal distribution reasonably apply. (C) Explain your reasoning for whether the Binomial/Normal distribution applies (no need to explain your choice of discrete or continuous). i) You decide to grab lunch at El Jefe's Taqueria. Let X be the number of people in line when you get there. ii) Let X be the number of people that ate lunch today in a random sample of 8 Harvard students. iii) Let X be the amount, in inches, of snowfall that Boston's Logan airport reports in the next snow storm. b) (5 pts.) Harvard reports that 5% of all graduating Seniors will graduate with highest Latin honors (Summa cum laude). What is the probability that at least one student will graduate with highest Latin honors in a random sample of 20 graduating seniors?