Busy people arrive at the park according to a Poisson process with rate λ1=3/hour. Relaxed people arrive at the park according to an independent Poisson process with rate λ2=2/hour. Assume that no other people arrive at the park. During the last 10 minutes, exactly two people arrived at the park. What is the probability that they are both relaxed?

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  1. (2C2)*(2/(2+3))²=4/25

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