Question

The random variables X and Y have a joint PDF of the form fX,Y(x,y)=c⋅exp{−12(4x2−8x+y2−6y+13)}

E[X]=
var(X)=
E[Y]=
var(Y)=

Answer 1

1. 1
2. 0.25
3. 3
4. 1

Answer 2

E[X]=1
V[X]=1/4
E[Y]=3
V[Y]=1

Answer 3

The random variables X and Y have a joint PDF of the form fX,Y(x,y)=c⋅exp{−1/2(4x2−8x+y2−6y+13)}
E[X]=1
V[X]=1/4
E[Y]=3
V[Y]=1