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Two continuous random variables $X$ and $Y$ are related as

$$Y=2X+3$$

Let $\sigma ^{2}_{X}$ and $\sigma ^{2}_{Y}$denote the variances of $X$ and $Y$, respectively. The variances are related as

  1. $\sigma ^{2}_{Y}=2 \sigma ^{2}_{X}$
  2. $\sigma ^{2}_{Y}=4 \sigma ^{2}_{X}$
  3. $\sigma ^{2}_{Y}=5 \sigma ^{2}_{X}$
  4. $\sigma ^{2}_{Y}=25 \sigma ^{2}_{X}$
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