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Distributionseasy
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If XXX and YYY are independent random variables such that X∼N(1,4)X \sim N(1, 4)X∼N(1,4) and Y∼N(2,9)Y \sim N(2, 9)Y∼N(2,9), what is the variance of the sum Z=X+YZ = X + YZ=X+Y?