Scenario E$\mathrm{.}1$

SimQuick is being used to simulate the following bank process:

Customer arrivals at the Entrance Door of the bank with an average time between arrivals of $2\mathrm{.}5$ minutes. The Line Buffer holds $6$ customers. If a customer arrives and the buffer line is filled, the customer leaves. The Work Station Teller's processing time per customer is normally distributed, with a mean of $3\mathrm{.}0$ minutes and a standard deviation of $0\mathrm{.}5$ minutes. The Served Customer Buffer in the flow chart is used to count the number of customers processed during the period simulated. A $2-$hour period was simulated.

The SimQuick simulation is run, and the results are as follows:

Element Types Element Names Statistics Overall Means

$$

Entrance Door Objects entering process $41\mathrm{.}80$

$$ Objects unable to enter $6\mathrm{.}23$

$$ Service level $0\mathrm{.}87$

$$

Buffer Line Objects leaving $37\mathrm{.}83$

$$ Final inventory $3\mathrm{.}98$

$$ Minimum inventory $0\mathrm{.}00$

$$ Maximum inventory $5\mathrm{.}85$

$$ Mean inventory $3\mathrm{.}08$

$$ Mean time in buffer $9\mathrm{.}75$

$$

Work Station Teller Work cycles started $37\mathrm{.}83$

$$ Fraction time working $0\mathrm{.}94$

$$

Buffer Served Customers Final inventory $36\mathrm{.}85$

Use the information in Scenario E$\mathrm{.}1.$ Approximately how much time did the average customer who entered the system spend waiting in line?

Group of answer choices

$9\mathrm{.}75$ minutes

$3\mathrm{.}08$ minutes

$5\mathrm{.}85$ minutes

$3\mathrm{.}98$ minutes