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# Analyze the average-case performance of the linear search

ISBN: 9780073383095 37

## Solution for problem 23E Chapter 3.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 23E

Analyze the average-case performance of the linear search algorithm, if exactly half the time the element x is not in the list and if x is in the fist it is equally likely to be in any position.

Step-by-Step Solution:

In this question we have to analyze the average case performance of the linear search algorithm.

Step 1 </p>

Case 1

If exactly half the time the element x is not in the list

Since the element is not in the list it’s complexity is

Step 2 of 2

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Analyze the average-case performance of the linear search