Cathy Livingston, bartender at the Tucson Racquet Club, can serve drinks at the rate r of one every 50 seconds, During a hot evening recently, the bar was particularly busy and every 55 second someone was at the bar asking for a drink.
- Assuming that everyone in the bar drank at the same rate and that Cathy served people on a first-come, first-served basis, how long would you expect to have to wait for a drink?
- How many people would you expect to be waiting for drinks?
- What is the probability that three or more people are waiting for drink?
- What is the utilization of the bartender (how busy is she )?
- If the bartender is replaced with an automatic drink dispensing machine, how would this change your answer in part a?