Answered: 1. Consider the Gaussian distribution N…

1. Consider the Gaussian distribution N (m, σ2). (a) Show that the pdf integrates to 1. (b) Show that the mean is m and the variance is σ.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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1. Consider the Gaussian distribution N (m, σ2).
(a) Show that the pdf integrates to 1.
(b) Show that the mean is m and the variance is σ.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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