?A continuous random variable X has the following probability distribution: \(f(x)=4 x

Chapter 5, Problem 5.8.5

(choose chapter or problem)

A continuous random variable X has the following probability distribution:

                                          \(f(x)=4 x e^{-2 x}\), x>0

(a) Find the moment-generating function for X.

(b) Find the mean and variance of X

Text Transcription:

f(x)=4 x e^-2x

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