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Help on basic statistics

  1. Sep 12, 2012 #1
    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
  2. jcsd
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