Scenario B.2
Weary travelers arrive at Will Rogers International Airport, pick up their luggage, stumble to their cars, and proceed to the parking lot attendant to pay for their parking. Traveler interarrival times are exponentially distributed, as are the service times of the attendant. On average, travelers arrive every 25 seconds. The attendant can process three travelers per minute, and processing rates follow a Poisson distribution.
-Use the information in Scenario B.2. How many minutes per hour is the attendant not serving customers?

Question

Quizplus · Accepted Answer

To find the time when the attendant is not serving customers, we need to calculate the utilization rate of the attendant. 
Average interarrival time = 25 seconds = 0.4167 minutes 
Service rate = 3 travelers per minute 
Using the formula for utilization rate: 
Utilization rate = (Service rate * Average service time) / 1 
= (3 * (1/3)) / 1 
= 1 
Since utilization rate is 1, the attendant is always busy serving customers. Therefore, the answer is A) fewer than or equal to 13.

Scenario B.2 Weary Travelers Arrive at Will Rogers International Airport, Pick Up