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Kim is at a train station, waiting to make a phone call. Two public telephone booths, next to each other, are occupied by two callers,

Kim is at a train station, waiting to make a phone call. Two public telephone booths, next to each other, are occupied by two callers, and 11 persons are waiting in a single line ahead of Kim to call. If the duration of each telephone call is an exponential random variable with = 1/3, what are the distribution and the expectation of the time that Kim must wait until being able to call?

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