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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.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...
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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.
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.
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