D 2. In the binary search tree above, finding node E requires one comparison and finding node A requires four comparisons. What is the expected number of comparisons required to find a node chosen at random?
D 2. In the binary search tree above, finding node E requires one comparison and finding node A requires four comparisons. What is the expected number of comparisons required to find a node chosen at random?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:### Binary Search Tree Diagram
#### Diagram Explanation:
The diagram illustrates a binary search tree structure, which is a data structure used to maintain a sorted sequence of elements, allowing for efficient insertion, deletion, and lookup operations.
- **Nodes:**
- E (root)
- C, H (children of E)
- B, D (children of C)
- A (child of B)
- F (child of H)
- G (child of F)
- **Levels of Nodes:**
- Level 1: Node E
- Level 2: Nodes C, H
- Level 3: Nodes B, D, F
- Level 4: Nodes A, G
Each node in the tree has 0, 1, or 2 children. In this structure, left children are typically smaller than their parent nodes, while right children are larger.
### Text:
2. In the binary search tree above, finding node E requires one comparison and finding node A requires four comparisons. What is the expected number of comparisons required to find a node chosen at random?
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