Answer to Question #267799 in Statistics and Probability for Ann

Statistics and Probability

Question #267799

If X is normally distributed with mean 15 and variance 16, find mean & standard deviation of Y = 3X + 3

Expert's answer

"E(Y)=E(3X+3)=3E(X)+3=3*45+3=138."

"Var(Y)=Var(3X+3)=3^2Var(X)=9*16=144."

"\\sigma(Y)=\\sqrt{Var(Y)}=\\sqrt{144}=12."

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