Assume That Order Prep Time Is Based on the Following

Essay

Assume that order prep time is based on the following distribution:
$$\begin{array} { | c | c | } \hline \text { Prep Time } & \text { Probability } \\\hline 3 & .10 \\\hline 4 & .20 \\\hline 5 & .25 \\\hline 6 & .20 \\\hline 7 & .15 \\\hline 8 & .10 \\\hline\end{array}$$
Complete the following table given that the random numbers for order prep time for customers 3, 4, and 5 are 62, 93, and 26, respectively.
$$\begin{array} { | c | c | c | c | c | c | c | } \hline \begin{array} { c } \text { Arrival } \\\text { Number }\end{array} & \begin{array} { c } \text { Time of } \\\text { Arrival }\end{array} & \begin{array} { c } \text { Time } \\\text { Order } \\\text { Taken }\end{array} & \begin{array} { c } \text { Order } \\\text { Prep } \\\text { Time }\end{array} & \begin{array} { c } \text { Customer } \\\text { Receives } \\\text { Food }\end{array} & \begin{array} { c } \text { Customer } \\\text { Wait } \\\text { Time }\end{array} & \begin{array} { c } \text { Cook } \\\text { "Idle" } \\\text { Time }\end{array} \\\hline 1 & 1 & 1 & 4 & 5 & 0 & 1 \\\hline 2 & 5 & 5 & 7 & 12 & 0 & 0 \\\hline 3 & 7 & & & & & \\\hline 4 & 10 & & & & & \\\hline 5 & 18 & & & & & \\\hline\end{array}$$
What is the average customer waiting time and the graduate student's utilization?