Question: Let {X(t), t 0} be a Poisson process with intensity parameter . Suppose each arrival is registered with probability p, independent of other arrivals. Let

Let {X(t), t 0} be a Poisson process with intensity parameter . Suppose each arrival is "registered" with probability p, independent of other arrivals. Let {Y(t), t 0} be the process of "registered" arrivals. Prove that Y(t) is a Poisson process with parameter p

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