作者ivy750910 (^0^)
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标题[问题] 请问交大机率问题
时间Wed Jan 20 23:28:03 2010
是这样的 这题是交大98统研机率论第一题
因为同一个老师解了不同版本(成大93年有考过)
所以想请教各位 拜托了....
题目↓↓
A judge is 65% sure that a suspect has committed a crime.
During the course of the trial a witness convinces the judge that there is
an 85% chance that the criminal is left-handed.
If 23% of the population is left-handed and the suspect is also left-handed,
with this new information, how certain should the judge be of the guilt
of the suspect?
其实是我不太懂他要求什麽>"<
版本一:题给P(判定嫌犯有罪)=0.65
所求=P(左嫌│有罪)=(0.23*0.85)/0.65=0.301
版本二: 0.85 / 罪 0.23
左 0.15 \ 无罪
a /
1-a \ b / 罪
右 1-b \ 无罪
a = 0.23/0.85 = 0.27
b = (0.65-0.73)/0.73= 0.58
所求 = 0.27*0.85+0.73*0.58 = 0.6525
请问哪一个才是对的??
还是两个都不对呀?? 因为同学和学长都说好像都不对 却解不出来>"<
拜托请求好心人帮我解答^^
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