o² = V(x) = [(b-a+1)²-1]/12
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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Derive the formula in picture 1 using the variance formula derivations given in picture 2.
![o² = V(x) = [(b-a+1)²-1]/12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98dc8968-b190-436a-b012-a667301bb55b%2F3c5521ef-44c6-4824-92f2-7f5935824331%2Fd3u8dz_processed.png&w=3840&q=75)
Transcribed Image Text:o² = V(x) = [(b-a+1)²-1]/12

Transcribed Image Text:Variance Formula Derivations
v(x)=Σ(x-μ) f(x) is the definitional formula
=Σ(x −2μx + μ?)f(x)
=Σxf(x)-2μΣ f(x)+a2f(x)
*
x
=Σxf(x)-2μ' + μ?
=Σxf(x)– μ' is the computational formula
x
x
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