Let X, Y,Z represent the loss incurred by an insurance company in the three states
Karnataka, Tamil Nadu and Kerala, respectively. Also given that the losses are inde
pendent. The Moment Generating Functions of X, Y, Z are given, respectively by
Mx(t) = (1 - 21)-3
My(t) = (1
Mz(t) = (1-2t)-4.5
Let S represent the combined loss from these three states. Calculate E(S).

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