đĄ What the Poisson Process Means
This simulation models a Poisson Process, which describes how events occur randomly and independently over time at a constant average rate.
The key feature is that the actual time between any two arrivals (the Interarrival Time) is completely random and follows an Exponential Distribution. This randomness is what you see in the simulation: even if the average rate is 1.0 per second, you might see two quick arrivals followed by a long wait.