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 response probability never 0.028 (round to the nearest thousandth as needed.) rarely 0.0 (round to the nearest thousandth as needed.)

Explanation:

Step1: Calculate total frequency

$135 + 308+560 + 1313+2431=4747$

Step2: Calculate probability for 'Rarely'

Probability = $\frac{\text{Frequency of 'Rarely'}}{\text{Total frequency}}=\frac{308}{4747}\approx 0.065$

Step3: Analyze if 'Never' is unusual

A probability is considered unusual if it is less than 0.05. The probability of 'Never' is $0.028<0.05$, so it is unusual.

Answer:

Response	Probability
Rarely	0.065
Sometimes	$\frac{560}{4747}\approx0.118$
Most of the time	$\frac{1313}{4747}\approx0.277$
Always	$\frac{2431}{4747}\approx0.512$

It is unusual to find a college - student who never wears a seat - belt when riding in a car driven by someone else.