Question: 1 server in each system 5) Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson

1 server in each system

1 server in each system 5) Customers enter the

5) Customers enter the waiting line at 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, a) what is the average number of customers in the system? b) what is the average number of customers waiting in line behind the person being served? 6) 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, a) what proportion of the time is the server busy? b) on average, how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?

5) Customers enter the waiting line at 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, a) what is the average number of customers in the system? b) what is the average number of customers waiting in line behind the person being served? 6) 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, a) what proportion of the time is the server busy? b) on average, how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria

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