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Sum of two random variables

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Z=sum of dots (uniform on {1,2,3,4,5,6}
a. M_z(s)=?
b. M_z(s)=M_x(s)^2 why?

M_z stands for the mgf of x=sum of dots when two dice are tossed

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This shows how to find the sum of two random variables.

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Z=sum of a pair of fair dice.

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