Recent content by iikii

  1. iikii

    Long-run proportion in state ′A′

    I think it is the rate parameter.
  2. iikii

    Long-run proportion in state ′A′

    Thanks! So I got the probability going from A to B P(A,B)=0.6, P(A,C)=0.4, P(B,C)=1, but what are the probabilities of P(C,B) and P(C,A)?
  3. iikii

    Busy Barber Problem: Proportion of Time Apprentice is Busy

    Homework Statement A barbershop has two barbers: an experienced owner and an apprentice. The owner cuts hair at the rate of 4 customers/hour, while the apprentice can only do 2 customers/hour. The owner and the apprentice work simultaneously, however any new customer will always go first to the...
  4. iikii

    Long-run proportion in state ′A′

    The question asks: A physical device can be in three states: A,B,C. The device operates as follows (all time units are in hours): The device spends an exponentially distributed amount of time in stateAA (with mean of 12minutes) and then with probability 0.6 goes to state B, and with...
  5. iikii

    Computer Server Down Probability

    So the problem asks: A computer server runs smoothly for Exp(0.2) days and then takes Exp(0.5)days to fix. The server is running fine on Monday morning, t=0. Find the probability that the server was fixed at least once (i.e. at least one complete repair was done) in the next 7 days and the...
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