Chapter 6.2, Problem 3.2CYU

To determine

To find: The standard deviation of D.

Answer to Problem 3.2CYU

The standard deviation is $1.14.

Explanation of Solution

Given:

  $\begin{array}{l}{\mu }_X=1.1,{\sigma }_X=0.943\\ {\mu }_Y=0.7,{\sigma }_Y=0.64\\ D=X-Y\end{array}$

Calculation:

The standard deviation can be calculated as:

  $\begin{array}{c}{\sigma }_D=\sqrt{{\sigma }_X^2+{\sigma }_Y^2}\\ =\sqrt{{0.943}^2+{0.64}^2}\\ =\sqrt{1.2998}\\ =1.14\end{array}$

The standard deviation is $1.14.