91Ó°ÊÓ

Given in the question that, from try it 11.6

The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to calculate the number of U.S. citizens working in one of several industry sectors over time. Table 11.17 shows the results:

$\begin{array}{|lllll|}\hline \text{Industry Sector}& \mathbf{2000}& \mathbf{2010}& \mathbf{2020}& \text{Total}\\ \text{Nonagriculture wage and salary}& 13,243& 13,044& 15,018& 41,305\\ \text{Goods-producing, excluding agriculture}& 2,457& 1,771& 1,950& 6,178\\ \text{Services-providing}& 10,786& 11,273& 13,068& 35,127\\ \text{Agriculture, forestry, fishing, and hunting}& 240& 214& 201& 655\\ \text{Nonagriculture self-employed and unpaid family worker}& 931& 894& 972& 2,797\\ \begin{array}{l}\text{Secondary wage and salary jobs in agriculture and private household}\\ \text{industries}\end{array}& 14& 11& 11& 36\\ \text{Secondary jobs as a self-employed or unpaid family worker}& 196& 144& 152& 492\\ Total& 27,867& 27,351& 31,372& 86,590\\ \hline\end{array}$

We need to find that, how many service providing jobs are there expected to be in $2020$and also find how many non-agriculture wage and salary jobs are there expected to be in $2020$.

The overall number of service-providing jobs in $2020$is $31372$, while the total number of service-providing jobs in the row is $35127$. The total number of years and industries is $86590$. The following table shows the estimated number of service-related jobs available in $2020$.

$E=\frac{\left(\text{row total}\right)\left(\text{column total}\right)}{\text{overall total}}$

$=\frac{\left(31372\right)\left(35127\right)}{86590}$

$=\frac{1102004244}{86590}$

role="math" localid="1653575401596" $$\begin{gathered} =12726.692 \\ ≈12727 \end{gathered}$$

The total for the year $2020$in the column is$31372$, while the total for non-agricultural wage and salary in the row is $41305.$The total number of years and industries is $86590$. The following table shows the estimated number of service-related jobs available in $2020$.

$E=\frac{\left(\text{row total}\right)\left(\text{column total}\right)}{\text{overall total}}$

$=\frac{\left(31372\right)\left(41305\right)}{86590}$

$=\frac{1295820460}{86590}$

$=14965.013≈14965$