Cuts-R-Us provides low cost haircuts at a shopping center in Boise, Idaho. During the day, customers arrive at an average rate of nine per hour following a Poisson distribution. After a customer is in a cosmetician s chair, it takes an average of 18 minutes for the haircut to be completed, with the actual service time following a Poisson distribution. a. If there are three cosmeticians on duty, how long will customers have to wait on average before receiving service, and how many customers are typically waiting for service? b. If there are four cosmeticians on duty, how long will customers have to wait on average before receiving service, and how many customers are typically waiting for service? c. If there are five cosmeticians on duty, how long will customers have to wait on average before receiving service, and how many customers are typically waiting for service? d. If you managed this store, how many cosmeticians would you employ and why?