Variables and normal distributions

1. Apr 4, 2013

ebrattr

Hi everyone,
I would like to know if this stament is true or not. I have two variables $u,v$ both of them distributed as normal distribution with mean 0 and variance $a^2$. Is it true that the expected value of $uv$ is $a^2$ ?
Thanks

2. Apr 4, 2013

Staff: Mentor

If u and v are independent, this is not true.
Just consider the symmetry of the system.

3. Apr 4, 2013

ebrattr

Yeahhh.... its cero. Thanks.