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Proof Chebyshev’s Theorem in detail and use these graph/plot as an example to illustrate its application.

Proof Chebyshev’s Theorem in detail and use these graph/plot as an example to illustrate its application.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Proof Chebyshev’s Theorem in detail and use these graph/plot as an example to illustrate its application.

90 80 70 60 50 Ô 30 20 O 5 www M 10 15 20 Sample Data 25 30
Transcribed Image Text:90 80 70 60 50 Ô 30 20 O 5 www M 10 15 20 Sample Data 25 30
120 100 80 60 40 20 0 Sample Data 1 2 3 4 5 6 7 8 9 101112131415161718192021222324252627282930
Transcribed Image Text:120 100 80 60 40 20 0 Sample Data 1 2 3 4 5 6 7 8 9 101112131415161718192021222324252627282930
Expert Solution
Step 1

Markov's Inequality:

Markov's inequality states that for a random variable say, X X≥0, and a positive number say, a

PX≥a≤EXa

Chebyshev’s Theorem:

Consider Y as a random variable with a finite mean value μand finite variance σ2 σ2 >0. Then, for any positive real number say, k

PY-μ≥kσ≤1k2

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