[See Solution] Under what conditions will the sum of the Mean Square values of each of two individual random variables be equivalent to the mean square value


Question: Under what conditions will the sum of the Mean Square values of each of two individual random variables be equivalent to the mean square value of the sum of the two random variables? Prove your answer. (Hint: This is similar to asking what are the conditions that allow the powers of two random variables to be added together without error, without knowledge of the pdf's of the random variables.)

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