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Answer to Question #267796 in Statistics and Probability for Tranquillite

Question #267796



X and Y are independent variables with means 10 and 20, and variances 2 and 3 respectively. Find the variance of 3X + 4Y ?

1
Expert's answer
2021-11-18T12:53:45-0500

Given: E(X) = 10 , E(Y) = 20, V(X) = 2 and V(Y) = 3

V(3X+4Y) = "3^2." V(X) + "4^2." V(Y) = "9\\times2+16\\times3=18+48=66"


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