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JerJason
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Given a Poisson process with an average a(alpha) arrivals per unit of time, find the probability there will be no arrivals during a time interval of length,t, namely, the probability that the waiting time between successive arrivals will be at least of length t.
 one year ago
 one year ago
JerJason Group Title
Given a Poisson process with an average a(alpha) arrivals per unit of time, find the probability there will be no arrivals during a time interval of length,t, namely, the probability that the waiting time between successive arrivals will be at least of length t.
 one year ago
 one year ago

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JerJason Group TitleBest ResponseYou've already chosen the best response.0
The answer my book gets is \[e^{\alpha t}\] but I'm unsure of what formula to use to obtain that answer.
 one year ago

JerJason Group TitleBest ResponseYou've already chosen the best response.0
I'm thinking maybe gamma distribution: \[f(x)= \frac{ 1 }{ \beta^{\alpha}\Gamma(\alpha) }x^{\alpha 1}e^{x/\beta}\] for x>0, alpha>0, beta>0
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
wouldn't it be a Poisson distribution?
 one year ago
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