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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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