intereresting read. I might be wrong but I think the central limit theorem is what's contributing to the binomial distribution of arrivals approaching a normal

intereresting read. I might be wrong but I think the central limit theorem is what's contributing to the binomial distribution of arrivals approaching a normal distribution due to the summation of qi-1 + arrivals(). Over many iterations (minutes, hours), you accumulate the effects of these random additions. As a result, even though the distribution is binomial (or approximated Poisson), its behavior for large enough values and sums of multiple minutes becomes approximately gaussian due to CLT.