1. Show that E (aX + bY) = aE (X) + bE (Y), where X, Y are random variables, a and b are constants. (You should specify
Posted: Wed Jul 06, 2022 6:33 pm
1. Show that E (aX + bY) = aE (X) + bE (Y), where X, Y are random variables, a and b are constants. (You should specify what expectation rule(s) you use to get to the next step.) 2. Show that Var (X) = E(X²) — µ². 3. Show that Cov(X, Y) = E(XY) — μxμy, where X, Y are random variables. 4. Show that, by using Assumptions SLR.1 through SLR.4, E(Â₁) = ß₁.