Question: Consider an M/M/1 queue where customers arrive at rate 1/hour and the rate of service is 2/hour . At the exit each customer will receive

Consider an M/M/1 queue where customers arrive at rate 1/hour and the rate of service is 2/hour . At the exit each customer will receive 3/(2^i) dollars, where I is the number of people that the customer leaves behind in the system (i.e., number of people that are in the system upon departure). Find the long-term expected amount of money that a customer receives.

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