1) A bartender is fixing drinks at a wedding for wedding guests. Service time is 30 seconds per drink. Wedding guests arrive at a mean rate of 80 per hour, and this rate is Poisson-distributed. Determine the following: The percentage of time the bartender is busy. The average number of guests waiting in line. The average time guests spend waiting. The probability of waiting in line longer than 2 minutes. 2) A cafe serving line has a regular coffee urn from which customers serve themselves, as well as one barista who takes orders. On average, 20% of the cafe's customers use the self-service system, which also allows for mobile pay using a kiosk, i.e., they skip the barista entirely. Customer arrivals to the cafe follow a Poisson distribution at the rate of 15 persons per hour, and the barista takes about 2 minutes to take down and fulfill each customer's order, and this time is exponentially distributed. How much time do you expect to wait in line before you are able to place your drink order with the barista