Suppose that the 24X is scheduled to arrive at the North Hall Busloop on the hour and on every half-hour (e. g. 9, 9:30, 10, 10:30, etc.). In actuality, however, the arrival time is uniformly distributed over an interval containing 20 extra minutes on either side of the scheduled arrival time; for example, if the scheduled arrival time is 11:00am then the true arrival time is uniformly distributed on [10:40 am, 11:20 am]. Let X denote the number of busses arriving between 11:10am and 11:20am. Additionally, assume that busses arrive independently of one another. Required:
What is the support of X?