**Question 4**

**1.** Customers enter the waiting line at a cafeteria’s only cash register on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is 6 per minute and the average service rate of a single server is 10 per minute, what is the average number of customers in the system?

**a)** 0.6

**b)** 0.9

**c)** 1.5

**d)** 0.25

**e)** 1.0

**2.** Which of the following is not an assumption in a multiple server queuing model?

**a)** Arrivals come from an infinite, or very large, population.

**b)** Arrivals are Poisson distributed.

**c)** Arrivals are treated on a first-in, first-out basis and do not balk or renege.

**d)** Service times follow the exponential distribution.

**e)** Servers each perform at their own individual speeds.

**3.** A company has one computer technician who is responsible for repairs on the company’s 20 computers. As a computer breaks, the technician is called to make the repair. If the repairperson is busy, the machine must wait to be repaired. This is an example of:

**a)** a multiple-server system.

**b)** a finite population system.

**c)** a constant service rate system.

**d)** a multiphase system.

**e)** all the above.

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