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What is the expected value of the distance you travel

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发表于 2020-5-9 21:15 | 显示全部楼层 |阅读模式
You are randomly placed in the interior of a circle of radius 1 (uniform distribution). You randomly choose a direction (uniformly) and begin to walk that way, stopping when you get to the circle.
What is the expected value of the distance you travel?
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