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. Yes, because 0.01less than<P(never)less than<0.10. B. Yes, because P(never)less than<0.05. C. No, because there were 139139 people in the survey who said they never wear their seat belt. D. No, because the probability of an unusual event is 0.

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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?

Response , Frequency  

Never  102

Rarely  319

Sometimes  524

Most of the time  1067

Always  2727

n= 102+319+524+1067+2727= 4739

(a) Complete the table below.

Response

Probability  To calculate the probability for each response you have to divide the frequency of each category by the total of people surveyed:

Never P(N)= 102/4739= 0.0215

(Round to the nearest thousandth as needed.)

Rarely P(R)= 319/4739= 0.0673

(Round to the nearest thousandth as needed.)

Sometimes P(S)= 524/4739= 0.1106

(Round to the nearest thousandth as needed.)

Most of the time  P(M)= 1067/4739= 0.2252

(Round to the nearest thousandth as needed.)

Always  P(A)= 2727/4739= 0.5754

(Round to the nearest thousandth as needed.)

(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.

No, because there were 102  people in the survey who said they never wear their seat belt. Incorrect, an event is considered unusual if its probability (relative frequency) is low, you cannot know if it is usual or unusual just by looking at the absolute frequency of it.

B.

Yes, because P(never) < 0.05. Correct

C.

No, because the probability of an unusual event is 0.    Incorrect, the probability of unusual events is low, impossible events are the ones with probability zero

D.

Yes, because 0.01 < P(never) <  0.10. Incorrect, by the definition an event is considered unusual when its probability is equal or less than 5%.

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answer:  

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