The student recreation center of a state university has only one coffee shop. Students arrive at the coffees shop at an average rate of 35 per hour according to a Poisson distribution. The only employee at the coffee shop takes an average of 90 seconds to service one student. Determine the following:

1. Capacity utilization for the system

2. Average number students in the queue

3. Average time a student spends in waiting in the queue

4. Average time a student spends in waiting in the system