Chapter 7, Problem 19PT2

To determine

To find: The standard deviation of total weight of the boxes.

Answer to Problem 19PT2

The standard deviation of the provided boxes is 3.02.

Explanation of Solution

Given:

Standard deviation of three boxes are 0.3, 0.1 and 3 pounds respectively.

Calculation:

The variance of three boxes could be calculated as:

  $\begin{array}{c}Var\left(\text{Three boxes}\right)={\left(0.3\right)}^2+{\left(0.1\right)}^2+{\left(3\right)}^2\\ =9.1\end{array}$

Now, the standard deviation could be calculated as follows:

  $\begin{array}{c}\text{Standard deviation = }\sqrt{9.1}\\ =3.02\end{array}$

Thus, the standard deviation of three boxes is 3.02.

Hence, the correct option is (c).