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