[問題]問題三
3.An individual tried by a 3-judge panel is declared guilty if at least 2
judges cast votes of guilty.Suppose that when the defendant is,in fact,guilty,
each judge will independently vote guilty with probability 0.7,whereas when
the defendant is,in fact,innocent,this probability drops to 0.2.If 70% of the
defendants are guilty,compute the conditional probability that judge number
3 votes guilty given that:(a)judges 1 and 2 vote guilty;(b)judges 1 and 2 cast
1 guilty and 1 innocent vote;(c)judges 1 and 2 vote innocent.Let Ei(i=1,2,3)
denote the event that judge i casts a guilty vote.Are these events independent
?
多謝多謝,請賜教
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