Question: Let {N(t)} be Poisson Process Poi( t ), S n is the time of n-th event, why does S N ( t ) + 1

Let {N(t)} be Poisson Process Poi(t ), Sn is the time of n-th event, why does SN(t)+1t follows Exp() given N(t) ?

eg. N(1) = 2, S31 follows Exp()

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