Question: A random variable X has the gamma distribution 0 F(x) = r Aryle X>0 style= class=fr-fic fr-dib> (a) Show that the moment-generating function of

A random variable X has the gamma distribution

०- तंत0 F(x) = говr Aryle X>0 " style="" class="fr-fic fr-dib">

(a) Show that the moment-generating function of X is

Ma()-(1-£)

(b) Find the mean and variance of X.

- " -(a- , >0 F(x) = r Aryle X>0 Ma()-(1-)" Mx(t)=

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