Question #1

The local grocery store has two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between customers' arrivals into the store is 3 minutes. Assume that customers equally divide themselves between the two cashiers, so they arrive into anindividual line every six minutes, on average.Compute the statistics listed below.

1. What is the arrival rate
2. What is the service rate
3. What is the average number of customers waiting in each line and being checked out
4. On average, how many customers are waiting in line to be served
5. How much time is a customer expected to spend waiting in line and being checked out
6. What percentage of the time is the system completely empty.