Below is a table the represents data collected about students at a local community college. The students were asked to state their class and their favorite first drink of the day. Leave answers as reduced fractions or as decimals rounded to ten-thousandths place. Freshman Sophomore Junior Senior Coffee/Tea 126 155 198 204 1) How many students were questioned? 2) How many students liked soda and were juniors? Soda 86 82 79 61 Water 234 205 216 278 Energy Drink 35 24 41 15 3) What is the probability that a student chosen at random would prefer water and be a senior? 4) What is the probability that a student chosen at random would be a freshman or prefer an energy drink? 5) What is the probability that a student chosen at random would not prefer a soda? 6) What is the probability that student chosen at random is a senior given that the student prefers coffee/tea? 7) How many ways could a student arrange the drink choices as 1st, 2nd, 3rd, and 4th choice? 8) What if students could only choose their top 3 choices? How many ways could they rank the drinks as 1st, 2nd, and 3rd choice? 9) John goes to the Caf to place his coffee order. He sees on the menu that for the dairy ingredient he can order either milk, 2% milk, skim milk, or heavy cream. The flavors he can choose from are hazelnut, mocha, plain, vanilla, and Irish cream. He can also order either iced coffee or hot coffee. How many ways could he place an order for one cup of coffee? 10) John, Jada, and Jerome race to the Caf with 7 of their classmates. The first one in line gets a free coffee. The second one gets 50% off the order, and the third one gets 25% off the order. What is the probability that John will get a free coffee, Jada will get 50% off her order, and Jerome will get 25% off his order?