2. Suppose that the interarrivai distribution for a renewal process is Poisson distributed with mean . That

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2. Suppose that the interarrivai distribution for a renewal process is Poisson distributed with mean ì. That is, suppose P[Xn = k] = e - ^ , £ = 0 , 1 , . . .

(a) Find the distribution of Sn.

(b) Calculate P{N(t) = n}.

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