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What is the probability that a customer arriving at the cocktail bar doesn't have to wait? What is the probability there are 5 customers waiting to be served? What is the probability that a customer waits 20 or more minutes to be served? Vino Inc. is a local company that produces and bottles its own brand of wine using local raspberries. The company sells its wine by the case (12 bottles per case) to national and international markets by the. Demand in these markets have been increasing this year, with the following data for the past three months: Month Demand (bottles) April 6,500 May 7,000 June 8,500 Current production capacity to produce the wine is 100 cases (12 bottles per case) per day; the facility operates 7 days a week. However, due to scheduled maintenance of their equipment, management feels that they can realistically produce no more than 6,960 bottles per week. Last week, two employees were absent several hours each and only 6,000 bottles were produced. Vino also operates a cocktail bar and sells its wine by the glass. Revenue and expenses from the cocktail bar are kept separate from the production facility operations. The price of a glass of wine is $5.75; the cost of purchasing the wine from the production facility is $10.00 per bottle (4 glasses per bottle). The cocktail bar is open every evening from 4-8 pm with one server working. The fixed costs of the cocktail bar (salaries, rent, utilities, etc.) total $40,000 per year. At the cocktail bar, previous experience is that 18 customers per hour arrive to the bar (customer arrivals can be described as a Poisson distribution). On average, it takes 2 minutes to serve each customer (the service rate can be described as an exponential distribution). How many customers are likely to be in the system' at any one time? What is the average time (in minutes) a customer spends 'in the system