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a) Show that the exponential distribution has a lack of memory and the minimum property b)...

a) Show that the exponential distribution has a lack of memory and the minimum property

b) What are the characteristic properties of the Poisson input process? Discuss some of their limitations by giving examples from practical queueing systems.

c) Suppose there are 2 types of customers arriving at the same server according to independent Poisson processes. Show that the aggregate arrival process is still a Poisson process.

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