Chapter 7, Problem AP2.19CPT

To determine

To find: the standard deviation of the total weight of the boxes that are shipped from this source.

Answer to Problem AP2.19CPT

3.02

Explanation of Solution

Given:

  $ver\left(total\right)=\mathrm{var}\left(A\right)+\mathrm{var}\left(B\right)+\mathrm{var}\left(C\right)$

A=Weight of boxes

B= weight of packing

C=weight of boxes

Formula used:

  $SD=\sqrt{\text{variance}}$

Calculation:

  $ver\left(total\right)={0.3}^2+{0.1}^2+3^2=9.1$

  $SD=\sqrt{9.1}=3.02$

Hence, the correct option is (c)