Question: The goal here is to find the moment generating function (MGF), the mean ( ) E(X), and the second moment ( 2 ) E(X 2

The goal here is to find the moment generating function (MGF), the mean ( ) E(X), and the second moment ( 2 ) E(X 2 ) for the random variable X with the given probability density function: ( ) = 2 2 , > 0. f(x)=2xe 2x ,x>0

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