You have been asked to determine the average wait time for a process that has caused problems for the management of your company. From data you collected over a two$-$week period $($which you feel are representative$),$ you have determined the following:

$\backslash$table$[[$Average processing time:,$10$ minutes$],[$Average job arrival rate:,$10$ minutes$],[$Processing time, standard deviation:,$50$ minutes$],[$Arrival rates, standard deviation:,$100$ minutes$]]$

a$.$ What is the average wait time?

b$.$ If management wants to promise its customers an average wait time in the system of no more than $24$ hours, what recommendations would you provide management on how to change the operation of the process of concern?