easy   Probability

Groggy Froggy

A release-checked easy problem for training Uniform, Expected Value/LOTUS, Tail Sum/Integral.

Question

A frog starts at the center of a circular lily pad of radius 1 meter. The frog hops to a uniformly random point on the lily pad. Find the expected radial distance of the frog from the center of the lily pad.

Practice focus

This Probability problem is tagged Uniform, Expected Value/LOTUS, Tail Sum/Integral. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.

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