Queuing theory and Poisson process

in real life we have seen a lot of cues but how do we model them in general for any queue we can separate the process into customer arrivals and then the company will provide some service to the customers and after the surface the customers will leave the queue and the cycle repeats let's first focus on the first part customer arrivals to model the customer arrivals we make an important assumption the arrival times are independent from each other and by independent arrivals I mean that a customer arriving at a specific time has no knowledge about the other customers nor their arrival times sort of showing up at random practically you can think about it like this on the timeline we can divide it into many sub intervals at each sub interval it is kind of like flipping a coin