What is the mean time until a packet is formed, that is, until five messages arrive at the node?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter9: Integer Programming
Section9.6: Solving Combinatorial Optimization Problems By The Branch-and-bound Method
Problem 3P
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In a data communication system, several messages that arrive at a node are bundled into a packet before they are transmitted over the network.
Assume that the messages arrive at the node according to a Poisson process with rate 30 messages per minute (0.5 per second). Five messages are used to form a packet.
What is the mean time until a packet is formed, that is, until five messages arrive at the node?

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