Suppose that you commute every day to work by subway. You walk to the same subway

Chapter 5, Problem 8

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Suppose that you commute every day to work by subway. You walk to the same subway station, which is served by two subway lines, both stopping near where you work. During rush hour, each subway line sends trains to arrive at the stop every 6 minutes, but the dispatchers begin the schedules at random times. What is the average time you expect to wait for a subway train? (Hint: Model the waiting time for the two subway lines by using a point (x, y) in the square [0, 6] [0, 6].)

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