Airport screening is designed to detect most things that can be used as a weapon, primarily firearms. If the screening “beeps” (meaning it has detected something), it is right 90% of the time. That is, if there is something illegal present, it will detect this with probability 0.9. It can also “beep” when there is nothing illegal present; this happens 15% of the time. Empirical evidence shows that 2% of the people going through airport screening have something with them that is illegal. a. If the screening machine “beeps,” what is the probability the person has something illegal with them? b. What percentage of the people going through screening get “beeped?” c. Note that the 0.90 probability of detecting something and the 0.15 probability of falsely detecting something don’t add to 1.0. Is that a problem? If not, why not
Airport screening is designed to detect most things that can be used as a weapon, primarily firearms. If the screening “beeps” (meaning it has detected something), it is right 90% of the time. That is, if there is something illegal present, it will detect this with probability 0.9. It can also “beep” when there is nothing illegal present; this happens 15% of the time. Empirical evidence shows that 2% of the people going through airport screening have something with them that is illegal. a. If the screening machine “beeps,” what is the probability the person has something illegal with them? b. What percentage of the people going through screening get “beeped?” c. Note that the 0.90 probability of detecting something and the 0.15 probability of falsely detecting something don’t add to 1.0. Is that a problem? If not, why not
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Airport screening is designed to detect most things that can be used as a weapon, primarily firearms. If the screening “beeps” (meaning it has detected something), it is right 90% of the time. That is, if there is something illegal present, it will detect this with
- a. If the screening machine “beeps,” what is the probability the person has something illegal with them?
- b. What percentage of the people going through screening get “beeped?”
- c. Note that the 0.90 probability of detecting something and the 0.15 probability of falsely detecting something don’t add to 1.0. Is that a problem? If not, why not?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman