e points X1, X2, X3 are selected uniformly and independently at ran- dom on a line of

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e points X1, X2, X3 are selected uniformly and independently at ran- dom on a line of length L . What is the probability that X2 lies between X1 and X3? What if X1, X2, X3 are independent continuous random vari- ables with the same density f on [0, L]

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e points X1, X2, X3 are selected uniformly and independently at ran- dom on a line of

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