You arrive at a bus stop at 9 o’clock, knowing that the bus will arrive at some time uniformly distributed between 9 and 9:30 AM. 1. What is the probability that you will have to wait longer than 10 minutes? 2. If, at 9:15, the bus has not yet arrived, what is the probability that you will have to wait at least an additional 10 minutes? 3. Suppose now that the waiting time (in minutes) has an Exponential distribution with λ = 1/15. What would the probability in part (2) be?.