Use this information to answer the remaining questions: Consider the airport security system example that we did in class. Refer to page $36$ of your Simulation book for the process flow map. The working times of the Work Stations are as follows

Work Stations

Working times

Insp. $1$ and Insp. $2$

Nor$(1,0\mathrm{.}1)$

Add. Insp. $1$ and Add. Insp. $2$

Nor$(5,1)$

After simulating this system for two hours and running $100$ simulations, we obtain the following output.

Element

Element

Statistics

Overall

types

names

Means

Entrance$($s$)$

Arrivals

Objects entering process

$238\mathrm{.}28$

Objects unable to enter

$0\mathrm{.}00$

Service level

$1\mathrm{.}00$

Work Station$($s$)$

Insp. $1$

Final status

NA

Final inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean cycle time $($int$.$ buff.$)$

$0\mathrm{.}00$

Work cycles started

$114\mathrm{.}81$

Fraction time working

$0\mathrm{.}95$

Fraction time blocked

$0\mathrm{.}00$

Insp. $2$

Final status

NA

Final inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean cycle time $($int$.$ buff.$)$

$0\mathrm{.}00$

Work cycles started

$112\mathrm{.}31$

Fraction time working

$0\mathrm{.}93$

Fraction time blocked

$0\mathrm{.}00$

Add. Insp. $1$

Final status

NA

Final inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean cycle time $($int$.$ buff.$)$

$0\mathrm{.}00$

Work cycles started

$13\mathrm{.}28$

Fraction time working

$0\mathrm{.}54$

Fraction time blocked

$0\mathrm{.}00$

Add. Insp. $2$

Final status

NA

Final inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean cycle time $($int$.$ buff.$)$

$0\mathrm{.}00$

Work cycles started

$8\mathrm{.}78$

Fraction time working

$0\mathrm{.}36$

Fraction time blocked

$0\mathrm{.}00$

Buffer$($s$)$

Sec Line $1$

Objects leaving

$227\mathrm{.}12$

Final inventory

$11\mathrm{.}16$

Minimum inventory

$0\mathrm{.}00$

Maximum inventory

$18\mathrm{.}33$

Mean inventory

$6\mathrm{.}94$

Mean cycle time

$3\mathrm{.}61$

Sec Line $2$

Objects leaving

$22\mathrm{.}06$

Final inventory

$0\mathrm{.}03$

Minimum inventory

$0\mathrm{.}00$

Maximum inventory

$1\mathrm{.}77$

Mean inventory

$0\mathrm{.}11$

Mean cycle time

$0\mathrm{.}53$

Done

Objects leaving

$0\mathrm{.}00$

Final inventory

$224\mathrm{.}33$

Minimum inventory

$0\mathrm{.}00$

Maximum inventory

$224\mathrm{.}33$

Mean inventory

$108\mathrm{.}78$

Mean cycle time

Infinite

Decision Point$($s$)$

DP

Objects leaving

$225\mathrm{.}15$

Final inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean inventory $($int$.$ buff.$)$

$0\mathrm{.}00$

Mean cycle time $($int$.$ buff.$)$

$0\mathrm{.}00$

What is the average time in minutes that a customer who is inspected by inspection station $1$ and is selected to receive additional inspection at inspection station $2$ spends in the airport security system? Round the answer to two decimal points.