Explain probability of some buses with Poisson process

Explain probability of some buses having arrived when the Poisson process is utilized.




If the Poisson process is utilized to model events, like the arrival of buses at a bus-stop, then we can respond questions about the number of buses arriving along with an exact time using the result as follows:

P(q(t) = n) = e-λt(λt)n/n!.

It is the probability of exactly n buses having arrived or there having been n asset price jumps in a time t.

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