Answer:
The average or expected number of students to have participated in after- school sports all four years of high school is;
![3.2\text{ seniors}](https://img.qammunity.org/2023/formulas/mathematics/college/mvpo70wk14512zly0irszt03zmbqfimq2x.png)
Step-by-step explanation:
Given that 7% of students at a local high school participate in after-school sports all four years of high school.
![P=7\text{\% = 0.07}](https://img.qammunity.org/2023/formulas/mathematics/college/xsos64f3oiso6sn3xd2z20t44ny7ti2d4h.png)
If a group of 45 senior is randomly selected.
![N=45](https://img.qammunity.org/2023/formulas/mathematics/college/vfc6pi4d56toy1bxkke53dqs34p404350d.png)
The average or expected number of students to have participated in after- school sports all four years of high school will be;
![\begin{gathered} n=P* N \\ n=0.07*45 \\ n=3.15 \\ n=3.2\text{ - to 1 decimal place} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ivuckat0e9gr8rklo60ojiwq336g2hvyqg.png)
Therefore, The average or expected number of students to have participated in after- school sports all four years of high school is;
![3.2\text{ seniors}](https://img.qammunity.org/2023/formulas/mathematics/college/mvpo70wk14512zly0irszt03zmbqfimq2x.png)