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...Homework papoulis pillai alg a critical part of machine has an exponentially distributed lifetime with pa rameter suppose that n spare parts are initially in stock and let t be the number spares left at time find pij b transition probability matrix c pj resnick adventures stochastic processes random world happy harry meets sleeping beauty dreams he is prince charming coming to rescue sb from her slumbering imprisonment kiss situation more compli cated than original tale however as sleeps one three positions on back which case she looks truly radiant fetal position less sucking thumb only or thodontist s changes occur according markov chain p sbstaysineachposition for exponential amount parameter i measured hours where assumefortherst two questions starts what long run percentage if arrives after length probabil ity nds looking try laplace transform techniques solution can nd requires access maple mathematica bl being delicate princess gets bed sores stays any too namely longer dene si ...