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The poisson process P(n arrivalsinintervalT) (A”e n= number of arrivals in t It can be shown that EIn= nT E[r21]=T+(T)2 2=E[(n-E[n)2]=E[n2]-E[m]2=TThe Poisson Process P(n arrivalsininterval T) = ( λT ) n e − λT n! n = number of arrivals in T It can be shown that, E[n] = λT E[n 2 ] = λT + (λT) 2 σ 2 = E[(n -E[n]) 2 ] = E[n 2 ] - E[n] 2 = λT Eytan Modiano Slide 5
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