Unformatted text preview: opens up at time t = 0 and the ﬁrst visitor (visitor number 0) arrives also at time 0. After that, visitor n arrives to the park at time T n . Y n is the amount of time that visitor n lingers at the park, and D n is the moment visitor n leaves the park. N t is the number of visitors at the park at time t . The question is to show that eventually there comes a point in time when the park is empty, assuming that the mean interarrival time is larger than the mean sojourn time. This exercise may lead you to some kind of longwinded, technically complex attempt. But it is not that hard. Draw a picture (not of the park!) and think a little. An excessively complicated solution may be impossible to grade....
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 Spring '09
 Reed
 Probability, Probability theory, Tn, i.i.d. random variables

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