$2\mathrm{.}14.14.$ A bank has one drive$-$in teller and room for one additional customer to wait. Customers arriving 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 Arrivals $($Minutes$)012345$ Service Time Probability $($Minutes$)$ Probability $0\mathrm{.}090\mathrm{.}200\mathrm{.}170\mathrm{.}400\mathrm{.}2730\mathrm{.}280\mathrm{.}200\mathrm{.}120\mathrm{.}150\mathrm{.}12$ 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?