Question for BruceZ (or others) regarding streaks

[Lexander]

If you are willing to accept an approximation (which I personally have no problem with), then you might as well get your answer by simulation.

Personally, I wish I was more comfortable with queuing theory, because this seems like some kind of single server queue, with geometric arrivals and fixed departures (my intro class never got past M/M/1 queues, so I am out of my league on how to model this).