3. Class rank. Choose a college student at random and ask his or her class rank in high school Probabilities for the outcomes are as follows: Rank: Top 20% Second 20% Third 20% Lowest 40% Probability: 0.40 0.30 0.20 ? (a) What must be the probability that a randomly chosen student was in the bottom 4% of his or her high school class? (13] To simulate the class standing of randomly chosen students, how would you assign digits to represent the four possible outcomes listed? {c} The Random Foundation decides to offer 8 randomly chosen students ill college scholarships. What is the probability that no more than 3 of the 3 students chosen are in the bottom 40% of their high school class? Simulate 10 repetitions of the foundation's choices to estimate this probability