Two continuous random variables X and Y are related as Y = 2X + 3 Let \sigma _{X}^{2} and \sigma _{Y}^{2} denote the variances of X and Y, respectively. The variances are related as

\sigma _{Y}^{2} = 4\sigma _{X}^{2}

\sigma _{Y}^{2} = 2\sigma _{X}^{2}

\sigma _{Y}^{2} = 25\sigma _{X}^{2}

\sigma _{Y}^{2} = 5\sigma _{X}^{2}

GATE Electronics and Communications (EC) 2021 Solved Paper

Question : 13 of 65

Marks: +1, -0

Two continuous random variables X and Y are related as
Y = 2X + 3
Let

σ _{X}^{2}

and

σ _{Y}^{2}

denote the variances of X and Y, respectively. The variances are related as

Go to Question:

Prev Question

Next Question