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Independent visitors to a certain Web site (having infinite capacity) arrive according to a Poisson process with rate λ = 30 per minute. The time that a given visitor spends on the site in question is an exponential random variable with mean equal to five minutes. Let Y(t) be the number of visitors at time t ≥ 0. The stochastic process {Y(t, t ≥ 0} is a filtered Poisson process.

(a) What is the appropriate response function?

(b) Calculate E[Y{t)] and V[Y{t)].

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91887210

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