n 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 110   Rarely 333   Sometimes 561   Most of the time 1081   Always 2233   ​(a) Complete the table below. Response Probability   Never nothing ​(Round to the nearest thousandth as​ needed.) Rarely nothing ​(Round to the nearest thousandth as​ needed.) Sometimes nothing ​(Round to the nearest thousandth as​ needed.) Most of the time nothing ​(Round to the nearest thousandth as​ needed.) Always nothing ​(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 the probability of an unusual event is 0.   B. ​Yes, because 0.01<​P(never)<0.10.   C. ​No, because there were 110 people in the survey who said they never wear their seat belt.   D. ​Yes, because ​P(never)<0.05.

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Author:Amos Gilat
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n 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
110
 
Rarely
333
 
Sometimes
561
 
Most of the time
1081
 
Always
2233
 
​(a) Complete the table below.
Response
Probability
 
Never
nothing
​(Round to the nearest thousandth as​ needed.)
Rarely
nothing
​(Round to the nearest thousandth as​ needed.)
Sometimes
nothing
​(Round to the nearest thousandth as​ needed.)
Most of the time
nothing
​(Round to the nearest thousandth as​ needed.)
Always
nothing
​(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 the probability of an unusual event is 0.
 
B.
​Yes, because
0.01<​P(never)<0.10.
 
C.
​No, because there were
110
people in the survey who said they never wear their seat belt.
 
D.
​Yes, because
​P(never)<0.05.
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