Question: Consider two M/M/1 queues with respective parameters A,, ,, where A,,, 1, 2. Suppose they both share the same waiting room, which has finite capacity

Consider two M/M/1 queues with respective parameters A,, ,, where A,,, 1, 2. Suppose they both share the same waiting room, which has finite capacity N. (That is, whenever this room is full all potential arrivals to either queue are lost.) Compute the limiting probability that there will be n people at the first queue (1 being served and n-1 in the waiting room when n > 0) and m at the second. (Hint Use the result of Problem 5 23.)

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