Let X and Y be two random variables with the following joint probability density function f(x,y) = }} (x + 2y), 0
Posted: Fri Nov 26, 2021 8:36 am
Let X and Y be two random variables with the following joint probability density function f(x,y) = }} (x + 2y), 0<x< 1,0 <y <1 otherwise , 0, Find the covariance between X and Y. Let X and Y be continuous random variables with the following joint probability density function f(x,y) = = {cx2 + y2), , (72 0 < x,y < 1 otherwise 0, a. Prove that X and Y are not independent. b. Find E(X + Y) and E(XY). c. Find Var(X), Var(Y) and Cov(X,Y) d. Find Var(X+Y).
Posted: Fri Nov 26, 2021 8:36 am
Let X and Y be two random variables with the following joint probability density function f(x,y) = }} (x + 2y), 0<x< 1,0 <y <1 otherwise , 0, Find the covariance between X and Y. Let X and Y be continuous random variables with the following joint probability density function f(x,y) = = {cx2 + y2), , (72 0 < x,y < 1 otherwise 0, a. Prove that X and Y are not independent. b. Find E(X + Y) and E(XY). c. Find Var(X), Var(Y) and Cov(X,Y) d. Find Var(X+Y).