The moment generating function can be used to find the mean and varianceof the normal distribution. Use derivatives of Mx(t) to verify that E(X) = µ and V(X) = 0².

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Answered: The moment generating function can be…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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The moment generating function can be used to find the mean and variance of the normal distribution. Use derivatives of Mx(t) to verify that E(X) = µ and V(X) = 0².