By using a change of variables, verify that the univariate Gaussian distribution given by 1 1 N(x|μ, σ²) = (200²)1/2 exp{- 202 (x − μ)²} 20² satisfy ∞ E[x] = N(x|μ₁0²)xdx = μ -∞
By using a change of variables, verify that the univariate Gaussian distribution given by 1 1 N(x|μ, σ²) = (200²)1/2 exp{- 202 (x − μ)²} 20² satisfy ∞ E[x] = N(x|μ₁0²)xdx = μ -∞
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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Question
![By using a change of variables, verify that the univariate Gaussian distribution given by
1
1
N(x|μ, σ²) =
exp{-
{ - 2 / 2 ( x − μ)²}
(2πσ²)¹/2 exp
satisfy
SON
∞
E[x] =
N(x|μ, σ²)xdx = μ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c96556e-466a-4720-8c5a-697057e0ec90%2F43b08006-2c13-4aa8-92bb-67316993d081%2Ffr854kfn_processed.png&w=3840&q=75)
Transcribed Image Text:By using a change of variables, verify that the univariate Gaussian distribution given by
1
1
N(x|μ, σ²) =
exp{-
{ - 2 / 2 ( x − μ)²}
(2πσ²)¹/2 exp
satisfy
SON
∞
E[x] =
N(x|μ, σ²)xdx = μ
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