DNA evidence compelling? DNA evidence can be extracted from biological traces such as blood, hair, and saliva. "DNA fingerprinting" is increasingly used in the courtroom as well as in paternity testing. Given that a person is innocent, suppose that the probability of his or her DNA matching that found at the crime scene is only 0.000001, one in a million. Further, given that a person is guilty, suppose that the probability of his or her DNA matching that found at the crime scene is 0.99. Jane Doe's DNA matches that found at the crime scene. 5.61 a. Find the probability that Jane Doe is actually inno- cent, if absolutely her probability of innocence is 0.50. Interpret this probability. Show your solution by introducing notation for events, specifying probabil- ities that are given, and using a tree diagram to find your answer. b. Repeat part a if the unconditional probability of inno- cence is 0.99. Compare results. Explain why it is very important for a defense lawyer to explain the difference between P(DNA match person innocent) and P(person innocent DNA match). с.
DNA evidence compelling? DNA evidence can be extracted from biological traces such as blood, hair, and saliva. "DNA fingerprinting" is increasingly used in the courtroom as well as in paternity testing. Given that a person is innocent, suppose that the probability of his or her DNA matching that found at the crime scene is only 0.000001, one in a million. Further, given that a person is guilty, suppose that the probability of his or her DNA matching that found at the crime scene is 0.99. Jane Doe's DNA matches that found at the crime scene. 5.61 a. Find the probability that Jane Doe is actually inno- cent, if absolutely her probability of innocence is 0.50. Interpret this probability. Show your solution by introducing notation for events, specifying probabil- ities that are given, and using a tree diagram to find your answer. b. Repeat part a if the unconditional probability of inno- cence is 0.99. Compare results. Explain why it is very important for a defense lawyer to explain the difference between P(DNA match person innocent) and P(person innocent DNA match). с.
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
Question
Transcribed Image Text:DNA evidence compelling? DNA evidence can be
extracted from biological traces such as blood, hair, and
saliva. "DNA fingerprinting" is increasingly used in the
courtroom as well as in paternity testing. Given that a
person is innocent, suppose that the probability of his or
her DNA matching that found at the crime scene is only
0.000001, one in a million. Further, given that a person
is guilty, suppose that the probability of his or her DNA
matching that found at the crime scene is 0.99. Jane Doe's
DNA matches that found at the crime scene.
5.61
a. Find the probability that Jane Doe is actually inno-
cent, if absolutely her probability of innocence is
0.50. Interpret this probability. Show your solution by
introducing notation for events, specifying probabil-
ities that are given, and using a tree diagram to find
your answer.
b. Repeat part a if the unconditional probability of inno-
cence is 0.99. Compare results.
Explain why it is very important for a defense lawyer
to explain the difference between P(DNA match
person innocent) and P(person innocent DNA match).
с.
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 with 2 images
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