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a man plays independent repetitions of the following game at each repetition he throws a dart onto a circular target
letnbspntnbspbe the number of telephone calls received at an exchange in the interval 0t we suppose thatnbspnt tnbspge
the customers of a newspaper salesperson arrive according to a poisson process with rate lambda 2 per minute calculate
the failures of a certain machine occur according to a poisson process with rate lambda 1 per weeka what is the
the power failures in a certain region occur according to a poisson process with rate lambda1nbsp 15 per week moreover
a machine is made up of two components that operate independently the lifetimenbspxinbspin days of
travelers arrive at a bus station from 6 am according to a poisson process with rate lambda 1 per minute the first bus
we suppose that every visitor to a museum independently from the others moves around the museum for t minutes where t
suppose that events occur at random in the plane in such a way that the number of events in a region i is a random
the various types of traffic accidents that occur in a certain tunnel over a given time period constitute independent
letnbspn1tt genbsp0 andnbspn2tt genbsp0 be twonbspindependentnbsppoisson processes with rates lambda1nbspand lambda2
suppose thatnbspnt tnbspge 0 is a poisson process with rate lambda gt 0 and that s is a random variable having a
city buses arrive at a certain street corner between 5 am and 11 pm according to a poisson process with rate lambda 4
a truck driver is waiting to join the traffic on the service road of a highway the truck driver blocks the service road
particles are emitted by a radioactive source according to a poisson process with rate lambda ln5 per houra what is
a system is made up of two components we suppose that the lifetime in years of each component has an exponential
we denote bynbspntnbspthe number of failures of a machine in the interval 0nbsptnbspwe suppose thatnbspn0 nbsp0 and
a woman working in telemarketing makes telephone calls to private homes according to a poisson process with rate lambda
the breakdowns of a certain device occur according to a poisson process with rate lambda 2 per weekday and according
letnbspntt genbsp0 be a poisson process with rate lambda 2 per minute what is the probability that the time elapsed
question no 35letnbspntnbspbe the number of telephone calls to an emergency number in the interval 0t we suppose
a machine is composed of three identical components placed in standby redundancy so that the components operate
consider the stochastic processnbspytt genbsp0 defined in question no 9 wherenbspntt genbsp0 is now a poisson process
letnbspxnnbspt1nbsp 0 1 be a discrete-time markov chain whose state space is the set z of all integers suppose that
the failures of a certain device occur according to a nonhomogeneous poisson process whose intensity