2. (5 pts). Suppose a bus arrives at a station such that the time between arrivals is exponentially distributed with rate -. To get home, you decide to wait for the bus for some number of minutes t. If the bus has arrived before t minutes, you take the bus home which takes time B. If the bus has not arrived after t minutes, you walk home which takes time W. What is the expected total time from getting to the bus stop until getting home