81. Drunks Police often set up sobriety checkpoints-roadblocks where drivers are asked a few brief questions to allow the officer to judge whether or not the person may have been drinking. If the officer does not suspect a problem, drivers are released to go on their way. Otherwise, drivers are detained for a Breathalyzer test that will determine whether or not they will be arrested. The police say that based on the brief initial stop, trained officers can make the right decision 80% of the time. Suppose the police operate a sobriety checkpoint after 9:00 p.m. on a Saturday night, a time when national traffic safety experts suspect that about 12% of drivers have been drinking.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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81. Drunks Police often set up sobriety checkpoints-roadblocks
where drivers are asked a few brief questions to allow the
officer to judge whether or not the person may have been
drinking. If the officer does not suspect a problem, drivers
are released to go on their way. Otherwise, drivers are
detained for a Breathalyzer test that will determine whether
or not they will be arrested. The police say that based on the
brief initial stop, trained officers can make the right decision
80% of the time. Suppose the police operate a sobriety
checkpoint after 9:00 p.m. on a Saturday night, a time when
national traffic safety experts suspect that about 12% of
drivers have been drinking.
You are stopped at the checkpoint and, of course, have not
been drinking. What's the probability that you are detained
for further testing?
What's the probability that any given driver will be
detained?
What's the probability that a driver who is detained has
actually been drinking?
What's the probability that a driver who was released had
actually been drinking?
te
Transcribed Image Text:81. Drunks Police often set up sobriety checkpoints-roadblocks where drivers are asked a few brief questions to allow the officer to judge whether or not the person may have been drinking. If the officer does not suspect a problem, drivers are released to go on their way. Otherwise, drivers are detained for a Breathalyzer test that will determine whether or not they will be arrested. The police say that based on the brief initial stop, trained officers can make the right decision 80% of the time. Suppose the police operate a sobriety checkpoint after 9:00 p.m. on a Saturday night, a time when national traffic safety experts suspect that about 12% of drivers have been drinking. You are stopped at the checkpoint and, of course, have not been drinking. What's the probability that you are detained for further testing? What's the probability that any given driver will be detained? What's the probability that a driver who is detained has actually been drinking? What's the probability that a driver who was released had actually been drinking? te
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