A jury has 12 jurors. A vote of at least 10 of 12 for guilty is necessary

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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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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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