How do you calculate the standard deviation of a bounded

Mabel Breault

Mabel Breault

Answered question

2022-01-17

How do you calculate the standard deviation of a bounded probability distribution function?

Answer & Explanation

Kayla Kline

Kayla Kline

Beginner2022-01-17Added 37 answers

abx2f(x)dx(abxf(x)dx)2
Explanation:
Bounded or not use expectation, assume the following PDF
f(x), a<x<b
then the expectation for standard deviation is calculated as
VAR(x)=E(x2)E(x)2=
abx2f(x)dx(abxf(x)dx)2

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