Marginally Gaussian

A maintenance person has the job of keeping two machines in working order. The amount of time that a machine works before breaking down has an exponential distribution with a mean of 10 hours. The time then spent by the maintenance person to repair the machine has an exponential distribution with a mean of 8 hours. a) Define the states, specifying the values of the birth and death rates. Construct the rate diagram. b) Calculate the steady state probabilities. c) Calculate L, Lq, W and Wa- d) Determine the proportion of time that the maintenance person is busy. e) Determine the proportion of time that any given machine is working.8 1 point Let X a normal random variable with mean ( and variance o . Consider Z = X - # Then Z isa exponential random variable Binomial random variable geometric random variable OOOOOOO standard normal random variable Bernoulli random variable normal random variable uniform continuous random variable Previous(p) All Markov chains must have a finite number of states. (q) All irreducible Markov chains must have a finite number of states. (r) All irreducible Markov chains are periodic. (s) All irreducible Markov chains are aperiodic. (t) All discrete-time Markov chains are irreducible