作者jeffho (yeungwailei)
看板Statistics
标题[问题] 请教一题统计的问题:
时间Mon Feb 1 23:13:59 2010
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我在做一题统计问题不会做,可否请各方高人帮忙解答?题目如下:
A customer has approached a bank for a loan. From the past experience, the
bank believes there is a 10% chance that the customer will default on the
loan. The bank can run a credit check on the customer. The credit check will
yield either a favorable or an unfavorable report. Historical information
shows that for those default customers, favorable reports were received 1 out
of 50 of the time. On the other hand, for those customers that were not default,
favorable reports were received 95 out of 100 of the time. If a favorable report
is received, what is the probability (to 4 decimal places) that the customer
will default on the loan?
{Hint: Construct a contingent table of the above problem first.}
小弟粗略翻译了一下中文意思大概是这样:
一个顾客去问银行借钱,根据过去经验,银行认为这家伙有10%机会不还钱。
银行可以给这人客做一个信用评估,然後这个评估会产生一个好的或是一个不好的报告,
以过去的数据统计出,对於那些会逃债的人客。他们每50个报告只有1个是好的报告,
而不会逃债的,是每100个报告有95个都是好的,现在我们对这位客人做信用评估,
那麽请问如果他得出一个好的报告,他结果会逃债的机率是多少?
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