As we know that interarrival time in queueing theory follows exponential distribution. I want to know what are the sample points and what is random variable corresponding to interarrival time? As when we toss a coin then sample points are clear. But in internal arrival time I am unable to find sample point. If someone explain this with example then it would be great help. Thanks
2026-03-21 14:00:20.1774101620
What are the sample points in sample space? What is the random variable?
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First off, interarrival times (IATs) do not always follow an exponential distribution. In an M/M/n queue, they do (that's the first "M"). In real life, not so much. That said, to get sample points you just park someone at the entry point of the queue who records when each successive customer shows up. The difference between the time the system opens and the time the first customer arrives is the first IAT. The difference between when the first customer got there and when the second customer got there is the second IAT, and so on.