Question: A producer task is known to be able to process data at a rate that is exponentially distributed with average service time of 3 ms

A producer task is known to be able to process data at a rate that is exponentially distributed with average service time of 3 ms per datum. What is the maximum allowable average data rate if the probability of collision is to be no more than 0.1%? Assume that the data arrive at intervals that are exponentially distributed.

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