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the number of missing items in a certain location call it x is a poisson random variable with mean lambda when
shocks occur according to a poisson process with rate lambda and each shock independently causes a certain system to
policyholders of a certain insurance company have accidents at times distributed according to a poisson process with
1 consider an innite server queuing system in which customers arrive in accordance with a poisson process with
a system has a random number of aws that we will suppose is poisson distributed with meannbspc each of these aws will
an event independently occurs on each day with probabilitynbspp letnbspnnnbspdenote the total number of events that
the water level of a certain reservoir is depleted at a constant rate of 1000 units daily the reservoir is relled by
an individual whose level of exposure to a certain pathogen is x will contract the disease caused by this pathogen with
suppose that we are to be presented with n distinct prizes in sequence after being presented with a prize we must
an insurance company feels that each of its policyholders has a rating value and that a policyholder having rating
siegbert runs a hot dog stand that opens at 8 am from 8 until 11 am customers seem to arrive on the average at a
suppose that customers are in line to receive service that is pro- vided sequentially by a server whenever a service is
a store must decide how much of a certain commodity to order so as to meet next months demand where that demand is
consider a post ofce that is run by two clerks suppose that when mr smith enters the system he discovers that mr jones
1a companys workforce was cross-classified according to job type and gender that classification appears in the
1 suppose that the amount of time one spends in a bank is exponentially distributed with mean ten minutes that
a group of n processors is arranged in an ordered list when a job arrives the rst processor in line attempts it if it
m balls are initially distributed among m urns at each stage one of the balls is selected at random taken from
1 suppose in the gamblers ruin problem that the probability of winning a bet depends on the gamblers present fortune
1 suppose that on each play of the game a gambler either wins 1 with probability p or loses 1 with probability 1 - p
1 a taxi driver provides service in two zones of a city fares picked up in zonenbspanbspwill have destinations in
letnbspp1nbspandnbspp2nbspdenote transition probability matrices for ergodic markov chains having the same state space
1 the state of a process changes daily according to a two-state markov chain if the process is in statenbspiduring one
1 a ea moves around the vertices of a triangle in the following manner whenever it is at vertex i it moves to its
a professor continually gives exams to her students she can give three possi- ble types of exams and her class is