Question: Given 3 random variables X, Y, Z with mgf: Mx(t) = (1-2t)^-4 My(t) = (1-2t)^-1.5 Mz(t) = (1-2t)^3.5 Suppose W=X+Y+Z, determine E(W^3) The answer is

Given 3 random variables X, Y, Z with mgf:

Mx(t) = (1-2t)^-4

My(t) = (1-2t)^-1.5

Mz(t) = (1-2t)^3.5

Suppose W=X+Y+Z, determine E(W^3)

The answer is 7920, please explain why??

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