You have a stick of length l You break it at a random ie uni

You have a stick of length l. You break it at a random (i.e. uniform) point and are left with a stick of length Y. You break this smaller stick at a random point and are left with a stick of length X. Find

(a) E[X]

(b) var(X|Y)

(c) E[var(X|Y)]

(d) var(E[X|Y])

(e) var(X)

Solution

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