Problem 2 Queuing [3 points]

The Heart Association plans to install a free blood pressure testing machine in the mall for a week. Previous experience indicates that, on average, 15 people per hour request a test. Blood pressure measurements can be made at a constant time of three minutes each.

1. [1 point] What queuing model should be used here? What is the hourly arrival rate l? What is the hourly service rate m?

Model:

l=

m=

For the following questions, round your final answer to 3 decimal places.

2. [0.5 point] What is the average expected number of people in line?

3. [0.5 point] What is the average expected number of people in the system?

4. [0.5 point] What is the average amount of time that a person can expect to spend in line?

5. [0.5 point] On average, how long will it take a person to get their blood pressure checked, including the waiting time in line?