At a border inspection station, vehicles arrive at the rate of 10 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 14 per hour in an exponentially distributed fashion.

What is the average length of the waiting line?

Note: Round your answer to 2 decimal places.

What is the average total time it takes for a vehicle to get through the system?

Note: Round your answer to 2 decimal places.

What is the utilization of the inspector?

Note: Round your answer to 1 decimal place.