A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood (blood alcohol level). The device is not totally reliable: 7 % of drivers with a true blood alcohol level below the legal limit will give a reading from the breathalyser as being above the limit, while 10% of drivers with a true blood alcohol level above the legal limit will give a reading below the limit. Suppose that in fact 18 % of drivers have a true blood alcohol level above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places. Part a) What is the probability that the driver is incorrectly classified as being over the limit (i.e. classified as over limit AND has a true blood alcohol level below the limit)? 0.0574 Part b) What is the probability that the driver is correctly classified as being over the limit (i.e. classified as over limit AND has a true blood alcohol level over the limit)? 0.018 Part c) Find the probability that the driver gives a breathalyser test reading that is over the limit. 0.0754 Part d) Find the probability that the driver has a true blood alcohol level below the legal limit, GIVEN that the breathalyser reading is below the limit. 0.0603
A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood (blood alcohol level). The device is not totally reliable: 7 % of drivers with a true blood alcohol level below the legal limit will give a reading from the breathalyser as being above the limit, while 10% of drivers with a true blood alcohol level above the legal limit will give a reading below the limit. Suppose that in fact 18 % of drivers have a true blood alcohol level above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places. Part a) What is the probability that the driver is incorrectly classified as being over the limit (i.e. classified as over limit AND has a true blood alcohol level below the limit)? 0.0574 Part b) What is the probability that the driver is correctly classified as being over the limit (i.e. classified as over limit AND has a true blood alcohol level over the limit)? 0.018 Part c) Find the probability that the driver gives a breathalyser test reading that is over the limit. 0.0754 Part d) Find the probability that the driver has a true blood alcohol level below the legal limit, GIVEN that the breathalyser reading is below the limit. 0.0603
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood (blood alcohol level). The device is
not totally reliable: 7 % of drivers with a true blood alcohol level below the legal limit will give a reading from the breathalyser as being above the limit,
while 10% of drivers with a true blood alcohol level above the legal limit will give a reading below the limit. Suppose that in fact 18 % of drivers have a
true blood alcohol level above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places.
Part a)
What is the probability that the driver is incorrectly classified as being over the limit (i.e. classified as over limit AND has a true blood alcohol level below
the limit)?
0.0574
Part b)
What is the probability that the driver is correctly classified as being over the limit (i.e. classified as over limit AND has a true blood alcohol level over the
limit)?
0.018
Part c)
Find the probability that the driver gives a breathalyser test reading that is over the limit.
0.0754
Part d)
Find the probability that the driver has a true blood alcohol level below the legal limit, GIVEN that the breathalyser reading is below the limit.
0.0603
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