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How do I find the Inter-arrival time when the Inter-arrival time is described on as exponentially distributed with mean of 12 minutes? This is a single server model with a generalized service time. I have the information for the service time and its probabilities.

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If you have an exponential distribution with mean $\lambda^{-1}$ the probability density function is $\lambda \exp(-\lambda t)$ for $t \ge 0$ The link is the first response in Google to the phrase.

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