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Competitive Stats
Q18Section I (Objective (Q1–Q80))18 of 79

Probability — variance of a scaled sum of independent variables

If 4σx2=9σy2=254\sigma_x^2=9\sigma_y^2=25, where xx and yy are independently distributed, then what is the value of Var⁡(2x+3y2)\operatorname{Var}\left(\frac{2x+3y}{\sqrt2}\right)?

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