Question

In: Statistics and Probability

If Var(X) = 1, Var(Y) = 2 and Cov(X,Y) = 0, what is Cov(X-2Y, Y-X2)?

If Var(X) = 1, Var(Y) = 2 and Cov(X,Y) = 0, what is Cov(X-2Y, Y-X2)?

Solutions

Expert Solution

solution:- given that rancx)=1, van 14)=8. Covex, y)20. .: cor (x-24, Y-2x) = cov(x,y) - 2 cov(x,x) . -2 couc4,4) + 4 cov(x,y) - Cov (x, y)=0 Coucx,x) = varcx) Covly, y) = Vanly) . =) equ (1) O- Qvaj (x) - 2 vanly) + 4x0. =) - 21- axa 5) s · cou (x-24; Y=2x) = -6 Scanned with CamScanner

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Given: E[x] = 4, E[y] = 6, Var(x) = 2, Var(y) = 1, and cov(x,y) =...
Given: E[x] = 4, E[y] = 6, Var(x) = 2, Var(y) = 1, and cov(x,y) = 0.2 Find a lower bound on (5 < x + y < 10). State the theorem used.
Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2
Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2
Find a power series solution of this ODE: y''+x^2y'=0 ; y(0)=1 y'(0)= 2
Find a power series solution of this ODE: y''+x^2y'=0 ; y(0)=1 y'(0)= 2
E(Y) = 4, E(X) = E(Y+2), Var(X) = 5, Var(Y) = Var(2X+2) a. What is E(2X...
E(Y) = 4, E(X) = E(Y+2), Var(X) = 5, Var(Y) = Var(2X+2) a. What is E(2X -2Y)? b. What is Var(2X-Y+2)? c. What is SD(3Y-3X)? 2) In a large community, 65% of the residents want to host an autumn community fair. The rest of the residents answer either disagree or no opinion on this proposal. A sample of 18 residents was randomly chosen and asked for their opinions. a) What is th probability that the residents answer either disagree or...
Solve the initial value problem: y''+2y'+y = x^2 , y(0)=0 , y'(0) = 0
Solve the initial value problem: y''+2y'+y = x^2 , y(0)=0 , y'(0) = 0
a) Solve IVP: y" + y' -2y = x + sin2x; y(0) = 1, y'(0) = 0
  a) Solve IVP: y" + y' -2y = x + sin2x; y(0) = 1, y'(0) = 0 b) Solve using variation of parameters: y" -9y = x/e^3x
Use power series to solve the initial value problem x^2y''+xy'+x^2y=0, y(0)=1, y'(0)=0
Use power series to solve the initial value problem x^2y''+xy'+x^2y=0, y(0)=1, y'(0)=0
y''+2y'+2y=0,y(45)=2,y'(45)=-2
y''+2y'+2y=0,y(45)=2,y'(45)=-2
y''' + 2y'' − y' − 2y = sin(4t),  y(0) = 0,  y'(0) = 0,  y''(0) = 1
y''' + 2y'' − y' − 2y = sin(4t),  y(0) = 0,  y'(0) = 0,  y''(0) = 1
f(x,y)=3(x+y) 0<x+y<1, 0<x<1, 0<y<1 (a) E(xy|x)=? (b) Cov(x,y)=? (c) x and y is independent? thank you!
f(x,y)=3(x+y) 0<x+y<1, 0<x<1, 0<y<1 (a) E(xy|x)=? (b) Cov(x,y)=? (c) x and y is independent? thank you!
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT