Question

Kai randomly surveys eighth graders at his school and learns that 7 of 35 respondents own a video gaming system. Based on these data, how many of the 150 eighth-grade students in Kai’s school would be expected to own a video gaming system?

Answer 1

From the random sampling, it was observed that 7 out of 35 respondents own a video gaming system

Interpreting this statement means that we can infer the result on the random sampling on the population

Hence

`\begin{gathered} 7\text{ out of 35 can be represented mathematically as} \\ (7)/(35)=(1)/(5) \end{gathered}`

So the number of students expected to own a video gaming system among the 150 eighth-grade would be

`\begin{gathered} (1)/(5)of\text{ 150} \\ =(1)/(5)*150 \\ =30\text{students} \end{gathered}`

Hence, the number of eighth-grade students among the 150 students in Kai's school expected to own a video gaming system is 30studenst