Due to a new business building built nearby, the customer arriving at the cafeteria at a busy lunch hour was expected to more than double to 277 customers per hour. To deal with the increased demand, management has decided to open another checkout lane. Workers were also provided with a faster POS machine, which will cut down their processing time to about 19 seconds per customer.

1.) What would be the service rate in hours (i.e., how many customers, on average, can a server serve per hour)? Round your answer to the nearest fourth decimal point.

2.) What is the system utilization?

3.) What is the probability that a customer will arrive at the checkup counter without having to wait at all?

4.) What would be the average number of customers waiting in line?

5.) How many seconds will a customer, on average, be waiting in line before reaching the front of the line?