Problem $7-26($Algo$)$

At a border Inspection station, vehicles arrive at the rate of $10$ per hour in a Polsson 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.

a$.$ What is the average length of the walting line?

Note: Round your answer to $2$ decimal places.

Average length

customers

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

Note: Round your answer to $2$ decimal places.

Average time

minutes

c$.$ What is the utilization of the inspector?

Note: Round your answer to $1$ decimal place.

$\backslash$table$[[$Utilization$,\%$