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

A producer process is known to be able to process data at a rate that is exponentially distributed with average service time of 3 milliseconds per datum. What is the maximum allowable average data rate if the probability of collision is to be 0.1%?

Assume that the data arrive at intervals that are exponentially distributed.

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