Problem At a border inspection station, vehicles arrive at the rate of 8 per hou

Problem
At a border inspection station, vehicles arrive at the rate of 8 per hour in a Poisson distribution. For simplicity in this
problem, assume that there is only one lane and one inspector who can inspect vehicles at the rate of 10 per hour
in an exponentially distributed fashion.
a) Which waiting line model should be used to solve this problem, and why?
b) What is the average length of the waiting line?
c) What is the average time a vehicle must wait to get through the system (in minutes)?
d) What is the utilization of the inspector?