Answer:
Step-by-step explanation:
Hello!
<em>Full text</em>
<em>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?
</em>
<em>Response
, Frequency
</em>
<em>Never 102
</em>
<em>Rarely 319
</em>
<em>Sometimes 524
</em>
<em>Most of the time 1067
</em>
<em>Always 2727
</em>
n= 102+319+524+1067+2727= 4739
<em>
(a) Complete the table below.
</em>
<em>Response
</em>
<em>Probability </em>To calculate the probability for each response you have to divide the frequency of each category by the total of people surveyed:
<em>Never
</em> P(N)= 102/4739= 0.0215
<em>(Round to the nearest thousandth as needed.)
</em>
<em>Rarely
</em> P(R)= 319/4739= 0.0673
<em>(Round to the nearest thousandth as needed.)
</em>
<em>Sometimes
</em> P(S)= 524/4739= 0.1106
<em>(Round to the nearest thousandth as needed.)
</em>
<em>Most of the time </em>P(M)= 1067/4739= 0.2252
<em>(Round to the nearest thousandth as needed.)
</em>
<em>Always </em>P(A)= 2727/4739= 0.5754
<em>(Round to the nearest thousandth as needed.)
</em>
<em />
<em>(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?
</em>
<em>A.
</em>
<em>No, because there were 102 people in the survey who said they never wear their seat belt.
</em> 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.
<em>B.
</em>
<em>Yes, because P(never) < 0.05.
</em> Correct
<em>
C.
</em>
<em>No, because the probability of an unusual event is 0. </em>Incorrect, the probability of unusual events is low, impossible events are the ones with probability zero
<em>D.
</em>
<em>Yes, because 0.01 < P(never) < 0.10. </em>Incorrect, by the definition an event is considered unusual when its probability is equal or less than 5%.
I hope this helps!
