While wandering around the halls of North Shore High School after hours, Regina George encounters lots of minions. Suppose minions appear one-at-a-time. You may assume that these encounters are independent and that these are there are only 4 types of minions she may run into: Minion Freshman 0.4 Sophomore 0.25 0.2 0.15 Probability Junior Senior a) (0.5 pt) Find the probability that it takes fewer than 60 trials to find the 20th Sophomore. b) (0.5 pt) What is the probability that she sees her 40th Senior by (including) her 200th encounter? c) (0.5 pt) Suppose she encounters 1000 minions. What is the probability that fewer than 220 are Juniors?