Why exponential distribution to model a queue?

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I am studying the queing models and I have a doubt.

Why to model intrerarrival times between two clients is used the exponential distribution? I know that this distribution has the memory less property that make interarrival times independent. But why we cannot used independent gaussians distribution to model them?

What gives more the memory less property respect to the independence of times? Could someone explain it without formulas just with words?

Thanks