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Suppose that it takes at least 9 votes from a 12-member jury to convict a defendant....

Suppose that it takes at least 9 votes from a 12-member jury to convict a defendant. Suppose also that the probability that a juror votes a guilty person innocent is .2, whereas the probability that the juror votes an innocent person guilty is .1. If each juror acts independently and if 65 percent of the defendants are guilty, find the probability that the jury renders a correct decision. What percentage of defendants is convicted? (I SLOVED this first part)

How to solve this second part?

b) If instead of jury members there are three judges who vote independently and correctly with probability p (either if the person is guilty or innocent). The decision is based on the majority of the judges. How large must p be so that correct decisions (weighting the frequency of innocent and guilty people as provided in the problem) are made more frequently using three judges over 12 jury members as described in a)

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