f(x,y)=1/pi x^2+y^2<= 1
need to show that x and y are uncorrelated but not independent.
Got that fx(x)=S 1/pi dy = y/pi and fy(y) 1/pi dx = x/pi
Having trouble finding expected values and variance for the correlation equation. Stuck at
E(x)=S(1,0) (upper bound, lower bound) x *y/pi dx which if fx(x) and fy(y) are uncorrelated should come out to 1/sqrt(pi) but doesn't
need to show that x and y are uncorrelated but not independent.
Got that fx(x)=S 1/pi dy = y/pi and fy(y) 1/pi dx = x/pi
Having trouble finding expected values and variance for the correlation equation. Stuck at
E(x)=S(1,0) (upper bound, lower bound) x *y/pi dx which if fx(x) and fy(y) are uncorrelated should come out to 1/sqrt(pi) but doesn't