1. What is the probability that a customer arriving at the cocktail bar doesn't have to wait?

2. What is the probability there are 5 customers waiting to be served?

3. What is the probability that a customer waits 20 or more minutes to be served?

4. How many customers are likely to be "in the system" at any one time?

5. What is the average time (in minutes) a customer spends "in the system"?

**Additional Context for Questions:**

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. Demand in these markets has been increasing this year, with the following data for the past three months:

- April: 6,500 bottles
- May: 7,000 bottles
- June: 8,500 bottles

Current production capacity is 100 cases (1,200 bottles) per day, operating 7 days a week. Due to scheduled maintenance, they can realistically produce no more than 6,960 bottles per week. Last week, only 6,000 bottles were produced due to employee absences.

Vino also operates a cocktail bar and sells its wine by the glass. Revenue and expenses from the cocktail bar are separate from production operations. The price of a glass of wine is $5.75, and the cost of purchasing 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. Fixed costs total $40,000 per year. Previous experience indicates 18 customers per hour arrive at the bar (Poisson distribution). On average, it takes 2 minutes to serve each customer (exponential distribution).