Customers at an amusement park arrive at the rate of 10 customers per hour.The entry booth is staffed by one employee.The mean service time at the booth to provide service to each customer is 5 minutes.The arrival rate follows a Poisson distribution,and the service time at the booth follows a negative exponential distribution.Determine the percentage of time the employee at the service booth will be idle.
A)17%
B)44%
C)12%
D)43%

Question

Quizplus · Accepted Answer

The correct answer is A because the percentage of time the employee at the service booth will be idle is 17%. This is because the arrival rate is 10 customers per hour, and the service time is 5 minutes per customer. This means that the employee will be able to serve 12 customers per hour. Therefore, the employee will be idle 17% of the time.

Customers at an Amusement Park Arrive at the Rate of 10