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Random Variableshard
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Suppose XXX and YYY are independent random variables where E[X]=2,E[Y]=3,Var(X)=1,E[X]=2, E[Y]=3, Var(X)=1,E[X]=2,E[Y]=3,Var(X)=1, and Var(Y)=2Var(Y)=2Var(Y)=2. A project manager defines the total cost as C=5X−3Y+10C = 5X - 3Y + 10C=5X−3Y+10. What is the variance of the cost CCC?