Recent content by ARLM

Ok, thanks!

I set up the integral \frac{1}{4}\int\inte^{sx+ty}(1+xy(x^{2}+y^{2}))dx dy Both integrals are from -1 to 1 (I don't know how to show that) I tried distributing xy and using integration by parts with u = 1+(x^3)y +x(y^3) and dv= e^(sx+ty) but not sure that this is the right idea because it...

Yes, I mean the first one! Thank you.

I am working on a probabilty theory problem: Let (X,Y) be distributed with joint density f(x,y)=(1/4)(1+xy(x^2-y^2)) if abs(x)≤1, abs(y)≤1; 0 otherwise Find the MGF of (X,Y). Are X,Y independent? If not, find covariance. I have set up the integral to find the mgf ∫∫e^(sx+ty)f(x,y)dx dy with...