Question Help ▼ 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 traffic safety experts suspect that about 19% of drivers have been drinking. Complete parts a) through d) below. a) A statistics student is stopped at the checkpoint and, of course, has not been drinking. What is the probability that the statistics student is detained for further testing? The probability that the statistics student is detained for further testing is 0.20 Round t three decimal places as needed.) p) What is the probability that any given driver will be detained? The probability that any given driver will be detained is 0.314. Round to three decimal places as needed.) =) What is the probability that a driver who is detained has actually been drinking? The probability that a driver who is detained has actually been drinking is. Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Question Help ▼
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 traffic safety experts suspect that about 19% of drivers have been drinking. Complete parts a) through d) below.
a) A statistics student is stopped at the checkpoint and, of course, has not been drinking. What is the probability that the statistics student is detained for further testing?
The probability that the statistics student is detained for further testing is 0.20
(Round to three decimal places as needed.)
b) What is the probability that any given driver will be detained?
The probability that any given driver will be detained is 0.314.
(Round to three decimal places as needed.)
c) What is the probability that a driver who is detained has actually been drinking?
The probability that a driver who is detained has actually been drinking is
(Round to three decimal places as needed.)
Transcribed Image Text:Question Help ▼ 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 traffic safety experts suspect that about 19% of drivers have been drinking. Complete parts a) through d) below. a) A statistics student is stopped at the checkpoint and, of course, has not been drinking. What is the probability that the statistics student is detained for further testing? The probability that the statistics student is detained for further testing is 0.20 (Round to three decimal places as needed.) b) What is the probability that any given driver will be detained? The probability that any given driver will be detained is 0.314. (Round to three decimal places as needed.) c) What is the probability that a driver who is detained has actually been drinking? The probability that a driver who is detained has actually been drinking is (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman