Question 1 1 pts Two random variables X and Y have statistics as follows: E[X] = 2, E[Y] = 8, Var(X) =7, Var(Y) =3, pxy = -0.4. Define two new random variables according to U = 2X" - Y and V = X + Y. Find E[U]. Question 2 1 pts Two random variables X" and Y have statistics as follows: E[X] = 8, E[Y] = 1, Var(X) =4, Var(Y) =8, px,y = 0.0. Define two new random variables according to U = 2X - Y and V = X + Y. Find E[V]. Question 3 1 pts Two random variables X and Y have statistics as follows: E[X] = -4, E[Y] = 2, Var(X) =10, Var(Y) =6, px,y = -0.3. Define two new random variables according to U = 2X - Y and V = X + Y. Find Var[U].Question 4 1 pts Two random variables X and Y have statistics as follows: E[X] =3, E[Y] = -8, Var(X) =9, Var(Y) =3, PX,y = -0.8. Define two new random variables according to U = 2X" - Y and V = X + Y. Find E[UV]. Question 5 1 pts Two random variables X and Y have statistics as follows: E[X] = -6, E[Y] =-5, Var(X) =7, Var(Y) =3, px,Y = 0.3. Define two new random variables according to U = 2X - Y and V = X + Y. Find Cov(U, V). Question 6 1 pts Two random variables X and Y have statistics as follows: E[X] = -1, E[Y] =-2, Var(X) =3, Var(Y) =9, px,y = 0.8. Define two new random variables according to U = 2.X - Y and V = X + Y. Find the correlation coefficient pu.v