easy   Probability

Longer Piece I

A release-checked easy problem for training Uniform, Expected Value/LOTUS, Order Statistics.

Question

Suppose that you have a loaf of bread that is $1$ meter in length. You slice the piece of bread at a uniformly random point along it's length, creating $2$ slices. Find the expected length (in meters) of the longer piece of bread.

Practice focus

This Probability problem is tagged Uniform, Expected Value/LOTUS, Order Statistics. 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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