Question

There are 406 students at Destiny's sa.surveys 20 randomly chosen students from her schoolabout how they get to school.Based on the data from the sample, about how manystudents in the school should Destiny expect to takethe subway?at is the problemut?Transportation MethodSubwayWalk84Bus4Bike2Car2

Answer 1

About 162 people

Step-by-step explanation

The first step is to find the probability that a randomly selected student from her school takes the subway.

The probability is given as:

`P(subway)=\frac{n(\text{subway)}}{n(\text{total)}}`

Since 8 out of 20 people take the subway, we have that:

`\begin{gathered} P(subway)=(8)/(20) \\ P(subway)=(2)/(5) \end{gathered}`

Now, to find the number of students expected to take the subway, multiply the total number of students in her school by the probability that one person takes the subway.

That is:

`\begin{gathered} 406\cdot(2)/(5) \\ \Rightarrow162.4 \\ \approx162\text{ people} \end{gathered}`

Therefore, Destiny should expect about 162 people to take the subway.