1. Once upon a time, there were two railway trains competing for the passenger traffic of 1000 people leaving from Chicago at the same hour and going to Los Angeles. Assume that passengers are equally likely to choose each train. How many seats must a train have to assure a probability of .99 or better of having a seat for each passenger?
2. Assume that, as in Example 9.3, Dartmouth admits 1750 students. What is the probability of too many acceptances?