If Y1, Y2,… is a sequence of IID random variables and N is a positive integer-valued random variable that may depend on the Yi’s in some way, then the sample mean of N Yi’s may not be unbiased for μ = E(Yi). Use this fact to explain why we were careful in the CV examples in Sec. 11.4 to define the CV Y as the average of a fixed number of IID random variables, such as interarrival or service times, rather than letting Y be the average of all the interarrival or service times generated by the time the simulation ends.
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