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# 8 Suppose P ( X =2)=1/2, P ( X =5)=1/3,and P ( X =7)=1/6. (a) Compute rX ( t ) for t R 1. (b)Verifythat r (0)= P ( X =1)and r (0)=2 P ( X =2). X 1 X...

- 3.4.8 Suppose P(X =2)=1/2, P(X =5)=1/3,and P(X =7)=1/6.
- (a) Compute rX (t) for t ∈ R1.
- (b)Verifythatr (0)= P(X =1)andr (0)=2P(X =2). X1X

(c) Compute mX(s) for s ∈ R .

(d) Verify that m (0) = E(X) and m (0) = E(X2).