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
Related questions
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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 6 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman