1. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 13 customers per hour and an average service rate of 20 customers per hour. The average length of time customers will spend in the system is:

Select one:

a. 0.09286 minutes

b. 0.1429 minutes

c. 8.571 minutes

d. 5.571 minutes

2. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 10 customers per hour and an average service rate of 13 customers per hour. The probability of 3 customers in the system is :

Select one:

a.0.895

b.0.5448

c.0.2308

d.0.105

3. During the early morning hours, customers arrive at a branch post office at an average rate of 21 per hour (Poisson), while clerks can provide services at a rate of 7 per hour. If clerk cost is $38.4 per hour and customer waiting time represents a cost of $32 per hour, how many clerks (between 4 and 8) can be justified on a cost basis

Select one:

a.8

b.5

c.6

d.4

e.7

4. Customers arrive at a video rental desk at the rate of 8 per minute(Poisson).Each server can handle 3.2 customers per minute(Poisson). If there are 6 servers, determine the average time it takes to rent a video tape.

Select one:

a.0.034 minutes

b.0.004 minutes

c.0.317 minutes

d.0.19 minutes