In: Math
Consider two random variables X and Y, with Y = (a+bX)
- Find E(Y)
- Find Cov(X,Y)
- Find Corr(X,Y)
let the expectation and the variance of X be that is,
now
[since, E(u+v)=E(u)+E(v)]
[since the expectation of a constant is the constant itself and E(bX)=bE(X) when b is a constant]
now,
now,
now,