Starshine is a shoeshine stand at the Chicago airport that employs three workers, each taking care of a customer station. Since passengers are typically tight on time, they will leave if$,$ upon arrival, they find that all the workers are busy serving other customers. Demand is $1$ customer per minute, with a standard deviation of $1$ minute, and the duration of a shoeshine job is $3$ minutes with a standard deviation of $1$ minute.

Question $1$

How many customers would be lost in one hour? $($Do not round to the nearest whole number, format is $00\mathrm{.}000)$

Question $2$

What is the implied utilization of the shoeshine stand?

Question $3$

What would be the minimum number of workers needed if they wanted to serve at least $85\%$ of incoming customers?