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An automated monitoring system for a complicated distribution network receives a random stream of performance reports from various sub-networks. The reports arrive according to a

An automated monitoring system for a complicated distribution network receives a random stream of

performance reports from various sub-networks. The reports arrive according to a Poisson setting, with

the mean count of 2.5 reports per minute. Suppose the monitoring system loses contact with the network

for fifteen seconds. What is the probability that at least one performance report arrives during that time?

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