Question: 3. Expectation (10 points) Consider the binary tree below. Observe that it has a weight for each edge. Let the weighted path length of a

3. Expectation (10 points) Consider the binary tree below. Observe that it has a weight for each edge. Let the weighted path length of a path in the tree be the sum of its edge weights. Assume that each path in the tree is equally likely to be chosen. Derive the expected weighted path length to a leaf from the root. Justify your answer. 50 100 20175 5 27

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