Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come,first-served basis.The arrival rate follows a Poisson distribution,while service times follow an exponential distribution.If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute,on average,how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?
A)0.67 minute
B)0.50 minute
C)0.75 minute
D)0.33 minute
E)1.33 minutes

Question

Quizplus · Accepted Answer

The Answer of Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come,first-served basis.The arrival rate follows a Poisson distribution,while service times follow an exponential distribution.If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute,on average,how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?
A)0.67 minute
B)0.50 minute
C)0.75 minute
D)0.33 minute
E)1.33 minutes

Customers Enter the Waiting Line to Pay for Food as They