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Markov Chains 2) Markov Chains A bank has 2 tellers and 4 seats in a waiting area. Customers arrive on average every 12 minutes and

Markov Chains

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2) Markov Chains A bank has 2 tellers and 4 seats in a waiting area. Customers arrive on average every 12 minutes and each teller works independently and takes an average of 10 minutes to serve a customer (all times exponentially distributed). Arriving customers who cannot nd a free seat always leave. A) What is the probability that the bank is empty? B) What percentage of customers leave without service? C) What is the average number of customers in the system

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