Recall our model of Queueing Theory$/$Waiting Line Analysis from class.

Students must have their schedule approved by an academic advisor. It takes the advisor an average of $12$ minutes to approve a schedule. Students arrive at the advisor's office at a rate of $3$ per hour.

When Jana gets called into the academic advisor's office, what is the probability that she will be served in less than $10$ minutes?

$[$HINTS:

This is not an operational characteristic of the model, as it only deals with service times

Please be careful! The question specifies "less than" $10$ minutes!!!

$0\mathrm{.}6216$

$0\mathrm{.}5654$

$0\mathrm{.}7133$

$0\mathrm{.}2731$

$0\mathrm{.}4981$

$0\mathrm{.}3172$