Question 5 Consider all courtroom trials with a single defendant who is charged with a felony. Suppose that you are given the following probabilities for this situation. 75% percent of the defendants are, in fact, guilty. Given that the defendant is guilty, there is a 70 percent chance the jury will convict the person. Given that the defendant is not guilty, there is a 40 percent chance the jury will convict he person. For simplicity, assume that the only options available to the jury are: to convict or to release the defendant. Given that the ury makes an incorrect decision, what is the probability that the decision is to release a guilty person?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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Question 5
Consider all courtroom trials with a single defendant who is charged with a felony. Suppose that you are given the following
probabilities for this situation. 75% percent of the defendants are, in fact, guilty. Given that the defendant is guilty, there is a 70
percent chance the jury will convict the person. Given that the defendant is not guilty, there is a 40 percent chance the jury will convict
the person. For simplicity, assume that the only options available to the jury are: to convict or to release the defendant. Given that the
jury makes an incorrect decision, what is the probability that the decision is to release a guilty person?
Transcribed Image Text:Question 5 Consider all courtroom trials with a single defendant who is charged with a felony. Suppose that you are given the following probabilities for this situation. 75% percent of the defendants are, in fact, guilty. Given that the defendant is guilty, there is a 70 percent chance the jury will convict the person. Given that the defendant is not guilty, there is a 40 percent chance the jury will convict the person. For simplicity, assume that the only options available to the jury are: to convict or to release the defendant. Given that the jury makes an incorrect decision, what is the probability that the decision is to release a guilty person?
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