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GATE 2019 EC – Question 28

Engineering Mathematics · Probability and Statistics · 1 mark · Numerical answer

If $X$ and $Y$ are random variables such that $E[2X+Y]=0$ and $E[X+2Y]=33$, then $E[X]+E[Y]=$ ________.

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Correct answer: 11

Explanation

Adding the two equations gives $3E[X]+3E[Y]=33$, so $E[X]+E[Y]=11$.