# Help on basic statistics

1. Sep 12, 2012

### susan_london

1. The problem statement, all variables and given/known data

This is actually not a homework problem, but as it is very basic material, I post it here.

I have two variables each with its marginal probability (estimated from data). I also have the correlation (variable).

2. Relevant equations

How to find the joint/conditional probability?

3. The attempt at a solution

I know either one of the joint or the conditional suffices due to Bayes' rule.

Basically, my problem is that correlation would give me E(XY) since I know their variances from the marginal distribution. However, there are infinitely many joint distributions that could lead to this E(XY) and I don't know how to find the one consistent with the marginals.

Last edited: Sep 12, 2012