Given that arrivals are random over a one hour period and follow the Poisson probability distribution then the
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These “interarrival” times are typically exponentially distributed. If the mean interarrival time is 1/λ (so λ is the mean arrival rate per unit time), then the variance will be 1/λ2 (and the standard deviation will be 1/λ ). The graph below displays the graph of the exponential density function when λ = 1 .
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