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    Independence and covariance

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    This is a two part question.
    The first part is setting the average of two 'independent' dice rolls to be a random variable (RV). The expected value and variance are asked.

    The second part deals with the notion that just because two independent RV have no correlation, the opposite is not generally true. Independence and correlation are asked.

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    Solution Summary

    Step by step method for computing Independence and covariance is given in the answer.