A bar can have only six barstools. Customers interested in having a drink at this bar...

A bar can have only six barstools. Customers interested in having a drink at this bar arrive at a rate of 6 per hour following a Poisson distribution. It is expected that a customer stays 30 minutes, exponentially distributed. There are only 3 spaces available for customers to wait for a barstool to become available. Customers who want to come in and find there is no room to wait, go to the restaurant next door. Determine:

a. Probability that there are no customers at the bar.

b. The probability that an arriving customer has to wait for a barstool.

c. The average number of customers at the bar.

d. The average number of customers waiting.

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Expert Solution

orchestra answered 1 year ago

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