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At a train station, international trains arrive at a rate λ = 1 (poisson distribution). At...

At a train station, international trains arrive at a rate λ = 1 (poisson distribution). At the same train station national trains arrive at rate λ = 2 (poisson distribution). The two trains are independent.

What is the probability that the first international train arrives within 3 times the arrival time of the first national train?

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