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A discrete random variable X has PMF given as: P(X=k)=k/15, k=1,2,3,4,5. (a) Find the probability generating function of X. (b) Find the variance of X

A discrete random variable X has PMF given as: P(X=k)=k/15, k=1,2,3,4,5.

(a)Find the probability generating function of X.

(b)Find the variance of X using the probability generating function of X.

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