Question: Let (f(x)=0.2) for (x=0,1,2,3,4). (a) Find the moment generating function. (b) Obtain (E(X)) and (Eleft(X^{2} ight)) by differentiating the moment generating function.

Let \(f(x)=0.2\) for \(x=0,1,2,3,4\).

(a) Find the moment generating function.

(b) Obtain \(E(X)\) and \(E\left(X^{2}\right)\) by differentiating the moment generating function.

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