$($EXCEL FORMAT, PLEASE USE TEMPLATE PROVIDED$)$ A local bank has a single drive$-$through window with arrival times and service times that follow the distributions from the following table:

TIME BETWEEN ARRIVALS $///$ PROBABILITY

$10\mathrm{.}15$

$20\mathrm{.}24$

$3-0\mathrm{.}27$

$40\mathrm{.}22$

$50\mathrm{.}12$

SERVICE TIME$($MIN$)/$ PROBABILITY

$1-0\mathrm{.}15$

$20\mathrm{.}35$

$3-0\mathrm{.}22$

$4-0\mathrm{.}28$

Simulate the arrival of $200$ customers to compute each of the following measures: $($a$)$ average time a customer waits for service, $($b$)$ average time a customer is in the system $($wait plus service time$),$ and $($c$)$ percentage of time the server is busy with customers. Replicate each measure N times to compute the average.