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# Question 1 Consider a finite buffer single server queuing system with arrival and service rate such that the equilibrium state probabilities are:...

**Question 1**

Consider a finite buffer single server queuing system with arrival and service rate such that

the equilibrium state probabilities are:

N: number of customers in the system

0

1

2

3

>=4

p(N): equilibrium state probability

0.415

0.277

0.185

0.123

0

Note: the state of the system is defined by the number of customers in the system.

Assume the service rate μ = 10.0. Calculate the mean number of customers in the queuing system with an accuracy of two digits after the decimal point.

**Question 2**

For question 1, compute the mean throughput of the queuing system with an accuracy of two digits after the decimal point.

**Question 3**

For question 1, compute the mean delay of the system with an accuracy of two digits after the decimal point.