Find the moment-generating function mxu of the gaussian, Basic Statistics

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Find the moment-generating function mxu of the gaussian

A Gaussian mixture is a random variable whose PDF is a linear combination of two Gaussian PDFs,

(a) Find the moment-generating function, MX(u) , of the Gaussian mixture.

(b) Use the moment-generating function to find the mean of the Gaussian mixture.

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Basic Statistics: Find the moment-generating function mxu of the gaussian

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Basic Statistics: Find the moment-generating function mxu of the gaussian

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