The taxi stand and the bus stop near Mikes house are in the same location. Mike goes there at a given time and if a taxi is waiting ( happens with probability 2/3 ) she boards it. Otherwise he waits for a taxi or bus to come depending on which comes first. The next taxi will arrive in a time that is uniformly distributed between 0 and 10 minutes, while the next bus will arrive in exactly 5 minutes. What is the expected value of Mikes waiting time