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(d) The probability of leaving DNA evidence is 10% if the person is not guilty and 95% if the person is guilty. Conditional on the person's guilt/innocence, leaving evidence of different types is independent. If both fingerprint and DNA evidence are found at the crime scene, what is the probability that the person is guilty? Note: events A and B are independent conditional on event C if and only if P(ANB|C) = P(A|C)P(B|C). Suppose in addition to the fingerprint, DNA evidence may be found at the crime scene.

(d) The probability of leaving DNA evidence is 10% if the person is not guilty and 95% if the person is guilty. Conditional on the person's guilt/innocence, leaving evidence of different types is independent. If both fingerprint and DNA evidence are found at the crime scene, what is the probability that the person is guilty? Note: events A and B are independent conditional on event C if and only if P(ANB|C) = P(A|C)P(B|C). Suppose in addition to the fingerprint, DNA evidence may be found at the crime scene.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 4 they are guilty. If they are guilty, there is a 90% chance their fingerprint would be found at the crime scene. If they are not guilty, there is a 5% chance their fingerprint would be found at the crime scene. A person is a suspect in a criminal investigation, and there is a 30% chance (a) What is the probability that the person's fingerprint is found at the crime scene? What is the probability that the person is guilty or the person's fingerprint is found at (Ъ) the crime scene? (c) that the person is guilty? Given that the person's fingerprint is found at the crime scene, what is the probability
Transcribed Image Text:Question 4 they are guilty. If they are guilty, there is a 90% chance their fingerprint would be found at the crime scene. If they are not guilty, there is a 5% chance their fingerprint would be found at the crime scene. A person is a suspect in a criminal investigation, and there is a 30% chance (a) What is the probability that the person's fingerprint is found at the crime scene? What is the probability that the person is guilty or the person's fingerprint is found at (Ъ) the crime scene? (c) that the person is guilty? Given that the person's fingerprint is found at the crime scene, what is the probability
(d) The probability of leaving DNA evidence is 10% if the person is not guilty and 95% if the person is guilty. Conditional on the person's guilt/innocence, leaving evidence of different types is independent. If both fingerprint and DNA evidence are found at the crime scene, what is the probability that the person is guilty? Note: events A and B are independent conditional on event C if and only if P(ANB|C) = P(A|C)P(B|C). Suppose in addition to the fingerprint, DNA evidence may be found at the crime scene.
Transcribed Image Text:(d) The probability of leaving DNA evidence is 10% if the person is not guilty and 95% if the person is guilty. Conditional on the person's guilt/innocence, leaving evidence of different types is independent. If both fingerprint and DNA evidence are found at the crime scene, what is the probability that the person is guilty? Note: events A and B are independent conditional on event C if and only if P(ANB|C) = P(A|C)P(B|C). Suppose in addition to the fingerprint, DNA evidence may be found at the crime scene.
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