Researchers randomly select a married couple in which both spouses are employed. Let X be the income
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Researchers randomly select a married couple in which both spouses are employed. Let X be the income of the husband and Y be the income of the wife. Suppose that you know the means μX and μY and the variances σX2 and σY2 of both variables.
a. Can we calculate the mean of the total income X + Y to be μX + μY? Explain your answer.
b. Can we calculate the variance of the total income to be σX2 + σY2? Explain your answer.
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