An Erlang Random variable has a PDF of the form (a) Find the characteristic function, X( )

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An Erlang Random variable has a PDF of the form
An Erlang Random variable has a PDF of the form(a)

(a) Find the characteristic function, ϕX( ω) .
(b) Find the Taylor series expansion of ϕX( ω) .
(c) Find a general expression for the k th moment of X.

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