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suppose that traffic accidents occur in a certain region according to a poisson process with ratenbsplambda 2nbspper
suppose that the monthly sales of a dealer of a certain luxury car constitute a conditional poisson process such that a
we suppose that the traffic at a point along a certain road can be described by a poisson process with parameter lambda
let nt be the number of accidents at a specific intersection in the interval 0t we suppose that ntt ge 0 is a poisson
telephone calls to an emergency number arrive according to a nonhomogeneous poisson process whose intensity function is
letnbspnttnbspge 0 be a poisson process with ratenbsplambda 2nbspsuppose that all the events that occur in the
letnbspn1t tnbspge 0 be a homogeneous poisson process with rate lambda 1 and letnbspn2ttnbspge 0 be a nonhomogeneous
the independent visitors of a certain web site may be divided into two groups those who arrived on this site
at night vehicles circulate on a certain highway with separate roadways according to a poisson process with parameter
during the rainy season we estimate that showers which significantly increase the flow of a certain river occur
independent visitors to a certain web site having infinite capacity arrive according to a poisson process with rate
a system is composed of two components that operate at alternate times when component f for i 12 starts to operate it
a woman makes long-distance calls with the help of her cell phone according to a poisson process with rate lambda
a machine is made up of two independent components placed in series the lifetime of each component is uniformly
the lifetime of a certain machine is a random variable having an exponential distribution with parameter lambda when
we consider a discrete-time markov chain whose state space is the set 012 and whose one-step transition probability
the time between the successive renewals for a certain renewal processnbspntt genbsp0 is a continuous random variable
we consider a system composed of two subsystems placed in series the first subsystem comprises a single component
suppose thatnbspnt tnbspge 0 is a renewal process for which the time tau between two consecutive renewals is a
we consider a system made up of two subsystems placed in parallel the first subsystem is composed of two components
use the renewal equation to find the distribution of the random variables tauk taking their values in the interval 0pi2
letnbspxt tnbspge 0 be a birth and death process with state space 012 and having the following birth and death rates
suppose thatnbspnttnbspge 0 is a poisson process with rate lambda gt 0 for a fixed time instant t gt 0 we consider the
letnbspbt tnbspnbspge 0 be a standard brownian motion that is a wiener process with drift coefficientnbspamp120583nbsp