Suppose that it takes at least 9 votes from a 12-member jury to convict adefendant. Suppose also that the probability that a juror votes a guilty personinnocent is .2, whereas the probability that the juror votes an innocent personguilty is .1. If each juror acts independently and if 65 percent of the defendantsare guilty, find the probability that for a randomly selected case the jury rendersa correct decision? (Hint: Use the law of total probability)

Suppose that it takes at least 9 votes from a 12-member jury to convict adefendant. Suppose also that the probability that a juror votes a guilty personinnocent is .2, whereas the probability that the juror votes an innocent personguilty is .1. If each juror acts independently and if 65 percent of the defendantsare guilty, find the probability that for a randomly selected case the jury rendersa correct decision? (Hint: Use the law of total probability)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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