=+23. Suppose is a random permutation of {1,...,n}. Show that E * n 1 j=1 [(j)
Question:
=+23. Suppose π is a random permutation of {1,...,n}. Show that E
* n
−1 j=1
[π(j) − π(j + 1)]2
+
=
n + 1 3
.
(Hint: Each term has the same expectation [139].)
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