Suppose that 85% of all defendants are indeed guilty. In a criminal trial by jury, the probability the defendant is convicted (declared guilty), given they are guilty, is 82%. The probability that the defendant is acquitted (declared not guilty), given innocence, is 80%. If a particular defendant is convicted of a crime, the what is the probability they are innocent?
Suppose that 85% of all defendants are indeed guilty. In a criminal trial by jury, the probability the defendant is convicted (declared guilty), given they are guilty, is 82%. The probability that the defendant is acquitted (declared not guilty), given innocence, is 80%. If a particular defendant is convicted of a crime, the what is the probability they are innocent?
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...
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Transcribed Image Text:Suppose that 85% of all defendants are indeed guilty. In a criminal trial by jury, the probability the defendant is convicted
(declared guilty), given they are guilty, is 82%. The probability that the defendant is acquitted (declared not guilty), given
innocence, is 80%. If a particular defendant is convicted of a crime, the what is the probability they are innocent?
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