George Pourbabaee Owns a Gas Station Using the Following Random Number Sequence: 92, 44, 15, 97

Essay

George Pourbabaee owns a gas station. The cars arrive at the gas station according to the following inter-arrival time distribution. The time to service a car is given by the following service time distribution.
$$\begin{array} { | c | c | c | c | c | c | }\hline \begin{array} { c } \text { Interarrival } \\\text { time (in } \\\text { minutes) }\end{array} & \mathbf { P ( X ) } & \begin{array} { c } \text { Random } \\\text { Numbers }\end{array} & \begin{array} { c } \text { Service Time } \\\text { (in minutes) }\end{array} & P ( \mathbf { X } ) & \begin{array} { c } \text { Random } \\\text { Numbers }\end{array} \\\hline 4 & .35 & 00 - 34 & 2 & .30 & 00 - 29 \\\hline 7 & .25 & 35 - 59 & 4 & .40 & 30 - 69 \\\hline 10 & .30 & 60 - 89 & 6 & .20 & 70 - 89 \\\hline 20 & .10 & 90 - 99 & 8 & .10 & 90 - 99 \\\hline\end{array}$$
Using the following random number sequence: 92, 44, 15, 97, 21, 80, 38, 64, 74, 08, estimate the average customer waiting time, average idle time of the assistant, and the average time a car spends in the system.