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Insight · ★★★☆☆ · ~6 min

Waiting for a Truck (Memoryless Property)

Trucks arrive every 10 min on average. How long until the next one?

by MindYourPuzzle

Trucks arrive on a highway following a Poisson process at rate λ = 0.1/minute (average inter-arrival: 10 min). Your car breaks down at a random time. How long do you expect to wait for the next truck? How long ago did the last truck pass?

minutes
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