4. A study of working couples measures the income X of the husband and the income Y of the wife in a large number of couples in which both partners are employed. Suppose that you knew the mean Hx and the variances af and a? of both variables in the population and Нy Is it reasonable to take the mean of the total income X + Yto be ux + ply? Explain your answer. а. Is it reasonable to take the variance of the total income to be af + af? Explain your answer b.

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