Question

1. people per vehicle at checkpoint

a researcher recorded the number of people in each vehicle that passed through a checkpoint. the table above shows the percent distribution for the 420 vehicles that passed through the checkpoint yesterday morning. how many of the 420 vehicles contained at least 3 people?
e. 42
f. 63
g. 105
h. 315

Explanation:

Step1: Calculate the percentage of vehicles with at least 3 people

The percentage of vehicles with 3 people is \(15\%\), with 4 people is \(7\%\), and with 5 or more people is \(3\%\).
So the total percentage is \(15\%+7\% + 3\%=25\%\)

Step2: Calculate the number of vehicles

We know there are \(n = 420\) vehicles.
The number of vehicles with at least 3 people is \(0.25\times420\)

$$0.25\times420=\frac{1}{4}\times420 = 105$$

Answer:

G. 105