Homework Help is Here – Start Your Trial Now!
Math
Probability
A security team is setting up a new walk-through metal detector and decided to run some tests on the current calibration of the machine. Members of the team walk through carrying metallic items of different sizes. Some items are weapons which should cause the alarm to sound. Other items are harmless, like jewelry or coins, which should not cause the alarm to sound. The following table shows the results of their test. (a) Positive (alarm sounds) 127 Negative (no alarm) Totals Weapon True Positive False Negative 11 138 Harmless Item False Positive 246 True Negative 86 332 Answer as a percentage rounded to two decimal places. Show your calculations. 2. What is the probability of a positive test result from the metal detector? Totals 373 97 470 3. What is the probability of a positive test result from the metal detector given that a weapon is present? This is the sensitivity of the metal detector. 4. What is the probability of a negative test result from the metal detector given that a weapon was present? This is the false negative rate of the metal detector. 5. What is the probability of a negative test result from the metal detector given that a harmless item was present? This is the specificity of the metal detector. 6. What is the probability of a positive test result from the metal detector given that a harmless item was present? This is the false positive rate of the metal detector.

A security team is setting up a new walk-through metal detector and decided to run some tests on the current calibration of the machine. Members of the team walk through carrying metallic items of different sizes. Some items are weapons which should cause the alarm to sound. Other items are harmless, like jewelry or coins, which should not cause the alarm to sound. The following table shows the results of their test. (a) Positive (alarm sounds) 127 Negative (no alarm) Totals Weapon True Positive False Negative 11 138 Harmless Item False Positive 246 True Negative 86 332 Answer as a percentage rounded to two decimal places. Show your calculations. 2. What is the probability of a positive test result from the metal detector? Totals 373 97 470 3. What is the probability of a positive test result from the metal detector given that a weapon is present? This is the sensitivity of the metal detector. 4. What is the probability of a negative test result from the metal detector given that a weapon was present? This is the false negative rate of the metal detector. 5. What is the probability of a negative test result from the metal detector given that a harmless item was present? This is the specificity of the metal detector. 6. What is the probability of a positive test result from the metal detector given that a harmless item was present? This is the false positive rate of the metal detector.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
See similar textbooks
icon
Related questions
Question
A security team is setting up a new walk-through metal detector and decided to run some tests on the current calibration of the machine. Members of the team walk through carrying metallic items of different sizes. Some items are weapons which should cause the alarm to sound. Other items are harmless, like jewelry or coins, which should not cause the alarm to sound. The following table shows the results of their test. (a) Positive (alarm sounds) Negative (no alarm) Totals Weapon True Positive 127 False Negative 11 138 Harmless Item False Positive 246 True Negative 86 332 Answer as a percentage rounded to two decimal places. Show your calculations. 2. What is the probability of a positive test result from the metal detector? Totals 373 97 470 3. What is the probability of a positive test result from the metal detector given that a weapon is present? This is the sensitivity of the metal detector. 4. What is the probability of a negative test result from the metal detector given that a weapon was present? This is the false negative rate of the metal detector. 5. What is the probability of a negative test result from the metal detector given that a harmless item was present? This is the specificity of the metal detector. 6. What is the probability of a positive test result from the metal detector given that a harmless item was present? This is the false positive rate of the metal detector.
Transcribed Image Text:A security team is setting up a new walk-through metal detector and decided to run some tests on the current calibration of the machine. Members of the team walk through carrying metallic items of different sizes. Some items are weapons which should cause the alarm to sound. Other items are harmless, like jewelry or coins, which should not cause the alarm to sound. The following table shows the results of their test. (a) Positive (alarm sounds) Negative (no alarm) Totals Weapon True Positive 127 False Negative 11 138 Harmless Item False Positive 246 True Negative 86 332 Answer as a percentage rounded to two decimal places. Show your calculations. 2. What is the probability of a positive test result from the metal detector? Totals 373 97 470 3. What is the probability of a positive test result from the metal detector given that a weapon is present? This is the sensitivity of the metal detector. 4. What is the probability of a negative test result from the metal detector given that a weapon was present? This is the false negative rate of the metal detector. 5. What is the probability of a negative test result from the metal detector given that a harmless item was present? This is the specificity of the metal detector. 6. What is the probability of a positive test result from the metal detector given that a harmless item was present? This is the false positive rate of the metal detector.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS