5. The arrivals of buses at a bus station follow a Poisson distribution with mean arrival rate of 3/hour. (a) Starting from the moment you arrive at the station, without knowledge of the time the last bus arrived, what is your expected wait time until the arrival of the next bus? (b) If another person arrives at the station ve minutes after you do, what is his/her expected wait time until the arrival of the next bus, given that a bus hasn't arrived between your arrival and the other person's