# Consider a renewal process with mean interarrival time . Suppose that each event of this process is

## Question:

Consider a renewal process with mean interarrival time μ. Suppose that each event of this process is independently “counted” with probability p. Let NC(t)

denote the number of counted events by time t, t > 0.

**(a)** Is NC(t), t 0 a renewal process?

**(b)** What is limt→∞ NC(t)/t?

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