A large hotel maintains a customer service number staffed by 3 operators. If you call and all 3 operators are currently busy, you get disconnected. Assume that arrivals are Poisson and arrive at an average rate of 12 per hour. The average length of a call is 3 minutes and service times are exponentially distributed. For simplicity, do not consider call retry in case you get disconnected.

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A large hotel maintains a customer service number staffed by 3 operators. If you call and all 3 operators are currently busy, you get disconnected. Assume that arrivals are Poisson and arrive at an average rate of 12 per hour. The average length of a call is 3 minutes and service times are exponentially distributed. For simplicity, do not consider call retry in case you get disconnected.

What formula is used to calculate blocking probability for this system (either name the formula or write it out)?

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