Abank has one drive$-$in teller and room for one additional customer towait. Customersarriving when the queue is full park and go inside the bank to transact business. The times between arrivals and the service$-$time distributions follow:

Time Between Service

Arrivals

Time

$($Minutes$)$ Probability $($Minutes$)$ Probability

$0$

$45$

$0\mathrm{.}090\mathrm{.}200\mathrm{.}170\mathrm{.}400\mathrm{.}2730\mathrm{.}280\mathrm{.}200\mathrm{.}120\mathrm{.}15$

$0\mathrm{.}12$

EXERCISES $101$

Simulate the operation of the drive$-$in teller for $10$ new customers. The first of the $10$ new customers arrives at a time determined at random. Start the simulation with one customer being served, leaving at time $3,$ and one in the queue. How many customers went into the bank to transact business?