For questions $13$ to $17$: Consider the following system: Customers arrive to a bank with two tellers. Customers have an exponential inter$-$arrival time of $15$ minutes and exponential service time of $10$ minutes.

Flag question: Question $13$

Question $131$ pts

What is the arrival rate for this system?

Group of answer choices

$4$ customers$/$hour

$10$ minutes

$15$ minutes

$6$ customers$/$hour

None of the other answers

Flag question: Question $14$

Question $141$ pts

What type of queueing model should be used for this system?

Group of answer choices

MM$1$

MD$1$

GG$1$

MM$2$

None of the other answers

Flag question: Question $15$

Question $151$ pts

What is the average utilization of the tellers in this system?

Group of answer choices

$0\mathrm{.}25$

$0\mathrm{.}33$

$0\mathrm{.}66$

$0\mathrm{.}75$

None of the other answers

Flag question: Question $16$

Question $162$ pts

$(2$ points$)$ Management needs to fire one of the tellers and keep the system only with one teller. If they implement this change in the bank, how many customers $($on average$)$ would be waiting in line?

Group of answer choices

$0\mathrm{.}66$

$1\mathrm{.}33$

$2\mathrm{.}00$

$3\mathrm{.}33$

None of the other answers

Flag question: Question $17$

Question $172$ pts

$(2$ points$)$ Management needs to fire one of the tellers and keep the system only with one teller. If they implement this change in the bank, what would be the average waiting time $($in min$)$ in line?

Group of answer choices

$10$ min

$20$ min

$30$ min

$40$ min

None of the other answers