Let X be a continuous random variable with values in [0,) and density fX. Find the moment

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Let X be a continuous random variable with values in [0,∞) and density fX. Find the moment generating functions for X if
(a) fX(x) = 2e−2x.
(b) fX(x) = e−2x + (1/2)e-x.
(c) fX(x) = 4xe−2x.
(d) fX(x) = λ(λ x)n−1e− λx/(n − 1)!.
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