Suppose random variables X and Y are related as Y=7X+3. Suppose the random variable X has...
Suppose random variables X and Y are related as Y=7X+3. Suppose the random variable X has mean 1, and variance 1. What is the expected value of X+Y ?
Solution provided is 11. How was this obtained?
Homework Answers
we have given Y = 7X+3
and E(X) = mean = 1
VAR(X) = 1
E(Y) = E(7X+3) = 7E(X)+3 = 7*1+3 = 10
now E(X+Y) =E(X) +E(Y) = 1+10 = 11
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