Suppose you're a reporter and you're working on a story exposing a multinational company for corporate fraud. You'd like to interview as many employees as possible in the span of three days. Assume you have an equal chance of interviewing any one person, and that the probability of interviewing no one is 0. You have n people to interview.
(a) If the probability that you've interviewed at most 10 people is 1/3, how many people are there left to interview if interviewed 25 people?
(b) Suppose n = 35, what is the probability that you interview at least 12 people?
(c) Suppose n = 35 and given that you've interviewed more than 20 people, what is the probability that you'll manage to interview less than 30 people?