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tamino
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Homework Statement
I cannot figure out this example:
suppose that initially individuals enter a room from one door according to a Poisson process with arrival rate lambda1. Suppose that as soon as one inidividual enters, this door is shut down and a second door is open. The numer of individuals that enter the room from the second door follows a Poisson process with arrival rate lambda2. As soon as a second inidividual enters the room, the second door is shut down and a third door is opened; from that one the number of individuals entering from that door follows a posson with rate lambda3. and so on...
what is probability that at time t I have exactly n individuals? THANKS!