question archive A grasshopper, resting on a lilly, hops a distance X N Uni[0, 1] away, then changes his mind and hops a distance Y ~ Uni[0,X] back, so it is a distance Z = X — Y from the lilly

A grasshopper, resting on a lilly, hops a distance X N Uni[0, 1] away, then changes his mind and hops a distance Y ~ Uni[0,X] back, so it is a distance Z = X — Y from the lilly

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A grasshopper, resting on a lilly, hops a distance X N Uni[0, 1] away, then changes his mind and hops a distance Y ~ Uni[0,X] back, so it is a distance Z = X — Y from the lilly. Find: (a) ?x, Z),

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