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9. Suppose N cars start in a random order along an infinitely long one-lane highway. They are all going at different but constant speeds and

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9. Suppose N cars start in a random order along an infinitely long one-lane highway. They are all going at different but constant speeds and cannot pass each other. If a faster car ends up behind a slower car, it must slow down to the speed of the slower car. Eventually the cars will clump up in traffic jams. Use a recursion to find the expected number of clumps (a group of one or more cars) of cars

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