# Variables and normal distributions

#### 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

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#### mfb

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

#### ebrattr

Yeahhh.... its cero. Thanks.

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