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 279 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 17 seconds per customer.

1. What would be theservice 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 thesystem utilization?
3. What is theprobabilitythat a customer will arrive at the checkup counterwithout having to wait at all?(Remember that it is NOT Po (probability of having no customer in the system), but rather the probability of zero AND just 1 customer in the system. And this should be used for with 2 servers, a multi-server model.)