Question

in a national survey college students were asked, \how often do you wear a seat belt when riding in a car driven by someone else?\ the response frequencies appear in the table to the right. (a) construct a probability model for seat - belt use by a passenger. (b) would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? (a) complete the table below

Explanation:

Step1: Calculate total frequency

First, find the total number of responses.

$$\begin{align*} \text{Total}&=128 + 347+529+1381+2386\\ &=4771 \end{align*}$$

Step2: Calculate probability for 'Rarely'

The probability formula is \(P=\frac{\text{Frequency of event}}{\text{Total frequency}}\).
For the 'Rarely' response, with frequency \(f = 347\) and total \(N=4771\), the probability \(P\) is:
$$P=\frac{347}{4771}\approx0.073$$

Answer:

\(0.073\)