Question 1

If the mean inter-arrival time of customers arriving at a Starbucks is denoted by quot;1/)quot;, then the average customer arrival rate (i.e., the average number of customers arriving per hour) is denoted by:

– 1/p

Question 2

If the mean service rate (number of customers served per hour) is denoted by quot;uquot;, then what is the mean service time?

. 1/1

Question 3

If the mean service time is 15 minutes per customer. what is the mean service rate (number of customers served per hour)?

2 customers per hour

4 customers per hour

. 6 customers per hour

B customers per hour

Question 4

Assume that the inter-arrival time of customers is exponentially distributed with a mean inter-arrival time of 5 minutes. Determine the mean arrival rate per hour. Also. identify the probability distribution associated with the arrival rate (i.e., distribution associated with the number of customers arriving per hour).

Mean arrival rate per hour: [ Select]:

Probability distribution: [ Select ] #

For the following three questions:

Assume that a call center receives an average of 17.5 calls per hour and that it answers an average of 20 calls per hour. Assume M/M/1, unlimited arrivals, and FIFO.

Question 5

What is the average time a customer is on hold waiting for a service?

The answer is

minutes per call.

Hint: use formula sheet.

Question 6

What is the average number of people in the system?

The answer is

people.

Hint: use formula sheet.

Question 7

What is the average number of people on hold?

The answer is

people. (calculate to 3 decimal places).

Hint: use formula sheet.Math