Question

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.

Answer 1

Answer:

Step-by-step explanation:

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Full text

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%.

I hope this helps!