Suppose three competing airlines each schedule their own flight to Waco which arrives there between 2:00 and 3:00 pm according to a continuous uniform distribution. All three flights are mutually independent. a) If Ralph shows up at the airport at 2:00 and decides he will watch all three arrivals, what is the expected time of the last arrival? b) Each airline takes 10 minutes to unload passengers. What is the probability that all three airlines will be unloading passengers simultaneously at some point in the hour from 2:00 to 3:00? Using a tool of your choice find a numerical approximation of this probability. Show and describe your work. c) Find the closed-form solution to question (b)