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Poisson Processes. Suppose you have two independent Poisson processes (N1(t), 12 0} and {N2(t), t...

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Poisson Processes. Suppose you have two independent Poisson processes (N1(t), 12 0} and {N2(t), t 0), where Ni(t) has rate λ
Poisson Processes. Suppose you have two independent Poisson processes (N1(t), 12 0} and {N2(t), t 0), where Ni(t) has rate λ and N2(t) has rate μ. Label the arrivals from N(t) as "type1" and arrivals from N2(t) as "type 2." Let Z be a random variable that represents the time until the next arrival of either type. What is the distribution of Z? (Justify your answer.)

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