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...Probability and stochastic processes homework chapter solutions problemsolutions yates andgoodman problem solution from the given markov chain state transition matrix is p based on statement of wireless lan by following has at time n let pi denote probabilities theorem k pk xpi pik i since q for every qxpi thus any idea behind this claim that if states j communicate then sometimes when we go back to will pass through e those occasions expected be innite would suggest not positive recurrent using a math prove requires little bit care supposee sinceiandj wecanndn thesmallestnonnegative integer such pji start in gi event our way conditioning gj ep jj tjj tji tij implies random variable assumes addition there may paths with more than hops take system these facts imply epji which contradiction hence it must self transitions guarantee aperiodic also irreducible can nd stationary solving however simpler apply particular partitioning between obtain ip where follows requiring sum yields x three...