An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of his evidence depends on the chance of a false positive-that is, the probability that the bureau finds a match, given that the lead at the crime scene and the lead in the possession of the suspect are actually from two different "melts," or sources. To estimate the false positive rate, the bureau collected 1,809 bullets that the agency was confident all came from different melts. Then, using its established criteria, the bureau examined every possible pair of bullets and found 606 matches. Use this information to compute the chance of a false positive. Is this probability small enough for you to have confidence in the agency's forensic evidence? Choose the correct answer below and fill in the answer box to complete your choice. Round to four decimal places as needed.) O A. The chance of a false positive is Because this probability is not sufficiently small (> 1%), there are concerns with the confidence in the agency's forensic evidence. O B. The chance of a false positive is %. Because this probability is sufficiently small (s 1%), there is high confidence in the agency's forensic evidence.
An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of his evidence depends on the chance of a false positive-that is, the probability that the bureau finds a match, given that the lead at the crime scene and the lead in the possession of the suspect are actually from two different "melts," or sources. To estimate the false positive rate, the bureau collected 1,809 bullets that the agency was confident all came from different melts. Then, using its established criteria, the bureau examined every possible pair of bullets and found 606 matches. Use this information to compute the chance of a false positive. Is this probability small enough for you to have confidence in the agency's forensic evidence? Choose the correct answer below and fill in the answer box to complete your choice. Round to four decimal places as needed.) O A. The chance of a false positive is Because this probability is not sufficiently small (> 1%), there are concerns with the confidence in the agency's forensic evidence. O B. The chance of a false positive is %. Because this probability is sufficiently small (s 1%), there is high confidence in the agency's forensic evidence.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
Transcribed Image Text:An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of
this evidence depends on the chance of a false positive-that is, the probability that the bureau finds a match, given that the lead at the crime scene and the lead in the possession of the
suspect are actually from two different "melts," or sources. To estimate the false positive rate, the bureau collected 1,809 bullets that the agency was confident all came from different
melts. Then, using its established criteria, the bureau examined every possible pair of bullets and found 606 matches. Use this information to compute the chance of a false positive. Is this
probability small enough for you to have confidence in the agency's forensic evidence?
Choose the correct answer below and fill in the answer box to complete your choice.
(Round to four decimal places as needed.)
O A. The chance of a false positive is %. Because this probability is not sufficiently small (> 1%), there are concerns with the confidence in the agency's forensic evidence.
O B. The chance of a false positive is %. Because this probability is sufficiently small (s 1%), there is high confidence in the agency's forensic evidence
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 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON