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Consider a hot-line telephone that has no second line. When the telephone is busy, the new callers get a busy signal. People call at the

Consider a hot-line telephone that has no second line. When the telephone is busy, the new callers get a busy signal. People call at the average rate of 2 calls per minute. The average duration of a telephone conversation is 1 minute. The system behaves like a Bernoulli single-server queuing process with a frame size of 1 second. 


  1. Compute the steady-state distribution for the number of concurrent jobs.
  2. What is the probability that more than 150 people attempted to call this number between 2 pm and 3 pm?

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