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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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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?
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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