In a national survey conducted by the Center for Disease Control to determine co

Question

In a national survey conducted by the Center for Disease Control to determine college students' health-risk behaviors, college students were asked. "How often do you wear a seat belt when driving a car?"The frequencies appear in the following table:

Respons                                   Frequency

Never                                             118

Rarely                                             249

sometimes                                       345

Most of the time                              716

Always                                          3003

a) Construct a probability model for seat-belt use by a driver.

b)Is is unusual for a college student never to wear a seat belt when driving a car? Why?

Explanation / Answer

a) A probability model of a system is the listing of all the probabilities of all possibilities.

Here total sample space = total no of students = 118 + 249 + 345 + 716 + 3003 = 4431

Hence Probability model is given by

Respons                                   Frequency Probability of occurance

Never                                             118 (118/4431) = .0266

Rarely                                             249 (249/4431) = .0562

sometimes                                       345 (345/4431) = .07786

Most of the time                              716 (716/4431) = .1616

Always                                          3003 (3003/4431) = .6777

b) Yes , it is unusual for a college student never to wear a seat belt when driving a car, This is because the probability of this happening is as low as .0266 hence it is unusual.

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