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Random Variableshard
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Let XXX and YYY be independent random variables where Var(X)=2Var(X) = 2Var(X)=2 and Var(Y)=3Var(Y) = 3Var(Y)=3. A new variable ZZZ is defined as Z=5X−4Y+1Z = 5X - 4Y + 1Z=5X−4Y+1. What is Var(Z)Var(Z)Var(Z)?