Given a Poisson process with on the average (alpha) arrivals per unit time, find the probability that

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Given a Poisson process with on the average \(\alpha\) arrivals per unit time, find the probability that there will be no arrivals during a time interval of length \(t\), namely, the probability that the waiting times between successive arrivals will be at least of length \(t\).

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Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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