Question: In this problem, consider a skip list with n > 2 elements. As described in class, the height (number of levels) of each node is

 In this problem, consider a skip list with n > 2

In this problem, consider a skip list with n > 2 elements. As described in class, the height (number of levels) of each node is randomly determined. For simplicity, assume that n is a power of 2 (i.e. log2 n is an integer). Let M be the maximum level of all nodes. prove that the expected maximum level of all nodes is (log n)

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