A Sunnyville Grocery Store

The manager of a grocery store of Sunnyville is interested in providing good service to senior citizens. Currently, the store has a separate checkout counter for senior citizens. On average, 30 senior citizens per hour arrive at the counter, according to a Poisson process, and are served at an average rate of 35 customers per hour, with exponential service times. Find the following operating characteristics:

Question:

2-a) Average utilization of the checkout counter.

Answer:

2-b) Probability of an empty system (no senior citizen customer at the counter).

Answer:

2-c) Average number of senior citizen customers in the system.

Answer:

2-d) Average number of senior citizen customers waiting in line.

Answer:

2-e) Average time a senior citizen customer spent in the system.

Answer:

2-f) Average waiting time in line.

Answer: