Question: (a) The table below shows the p.d.f for a random variable X. X 1 2 3 P(X=x) 3a+2a a+a a a Calculate; (i) a

(a) The table below shows the p.d.f for a random variable X.

X 1 2 3 P(X=x) 3a+2a a+a a a Calculate; (i) a

(a) The table below shows the p.d.f for a random variable X. X 1 2 3 P(X=x) 3a+2a a+a a a Calculate; (i) a (ii) E(X) (iii) Var(X) (b) For a discrete random variable X, the c.d.f is given by; F(x)=x, for x=1,2,3 Find; (i) f(x), the pdf of X (ii) Var(X) (c) The m.g.f of a random variable X is given by, + What is the pdf of X? Find also the edf of X.

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