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6010概率中等derivationmedium

No Orders Routed to Venue C

题目

Orders arrive as a Poisson process at rate λ=20\lambda=20 per minute and are independently routed to venue A, B, or C with probabilities 0.50.5, 0.250.25, and 0.250.25. What is the probability that venue C receives no orders during the next 6 seconds?

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