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
- $\sigma ^{2}_{Y}=2 \sigma ^{2}_{X}$
- $\sigma ^{2}_{Y}=4 \sigma ^{2}_{X}$
- $\sigma ^{2}_{Y}=5 \sigma ^{2}_{X}$
- $\sigma ^{2}_{Y}=25 \sigma ^{2}_{X}$