If you hire $22$ workers, how many weeks a year should you expect to use overtime? $[15\mathrm{.}2]$ b$.$ If you hire $18$ workers, how many weeks a year will your workers be underutilized? $[15\mathrm{.}2]$ c$.$ If you are interested in minimizing your labor cost, how many workers should you hire $($again$,$ assuming your workload forecast is normally distributed$)?[15\mathrm{.}4]$ d$.$You are now concerned the normal distribution might not be appropriate. For example, you can$$t hire $20\mathrm{.}5$ workers. What is the optimal number of workers to hire if you use the empirical distribution function constructed with the data in the above histogram? $[15\mathrm{.}4]$