Jury Verdict A jury has 12 jurors. A vote of at least 10 of 12 for “guilty” is necessary for a defendant to be convicted of a crime. Assume that each juror acts independently of the others and that the probability that any one juror makes the correct decision regarding a defendant is .70. If the defendant is guilty, what is the probability that the jury makes the correct decision?
Jury Verdict A jury has 12 jurors. A vote of at least 10 of 12 for “guilty” is necessary for a defendant to be convicted of a crime. Assume that each juror acts independently of the others and that the probability that any one juror makes the correct decision regarding a defendant is .70. If the defendant is guilty, what is the probability that the jury makes the correct decision?
Solution Summary: The author calculates the probability of the jury making the correct decision if the defendant is guilty.
Jury Verdict A jury has 12 jurors. A vote of at least 10 of 12 for “guilty” is necessary for a defendant to be convicted of a crime. Assume that each juror acts independently of the others and that the probability that any one juror makes the correct decision regarding a defendant is .70. If the defendant is guilty, what is the probability that the jury makes the correct decision?
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License