Determine the mean node-node path, Computer Networking

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Mean node-node path

The mean node-node path is two times the mean node-root path. Number the levels of the tree with the root as 1 and the deepest level as N. The path from the root to level N needs N - 1 hops and 0.5 of the nodes are at this level. The path from the root to level N - 1 has 0.25 of the nodes and a length of N - 2 hops. As the mean path length, L, is given by

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