1. You know that the Campus Circulator is supposed to arrive. on average, every 5 minutes at your station. But you also know that it doesn't really follow a schedule and you sometimes end up waiting much longer than 5 minutes. Let's just say that the time between the arrivals of two consecutive busses is also exponentially distributed. You leave for the station 3 minutes after a bus has arrived, and it takes you 3 minutes to walk to the station. What is the probability that, in the time it takes for you to walk to the station, you've just missed a bus? (Hint: apply the memoryless property of exponential distributions}