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概率题,自己感觉有点小变态.

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楼主
发表于 2008-10-16 04:47:00 | 只看该作者

概率题,自己感觉有点小变态.

1.four machines,labeled A,B,Cand C, are used to produce golf balls. Of the total output, Machine produces 10%, B 20%, C 30%, D 40%, of the golf balls produce by machineA, %1 are defective; by machine B, 2%, by machine C3% , and D4%

Question: what proportions of the golf balls are defective? Given that a ball is defective, what is the probability that machine D made it? Given that a ball is defective, what is the probability that machine A did not make it.

2.A sakesman has a 30% probability of making a sale to any customer. Assume all customers are independent of one another.

Question: What is the probability the first sale is made to the third customer? what is the probability the first four customers do not purchase the product?

大家帮帮忙,要不又该睡不着了.小弟感激不尽

沙发
发表于 2008-10-16 06:12:00 | 只看该作者
我来试试
第一题,假设总共生产了1000个球,则ABCD分别生产了,100,200,300,400个球
1.根据条件,ABCD分别生产出的坏球是1,4,9,16个,所以总共有30个坏球,与总球数的比例是3%
2.在30个坏球里挑,是D生产的概率是16/30,不是A生产的概率是(1-1/30)=29/30

第二题,根据题意
1第三个顾客会买,就是说前面二个顾客不买,概率为(1-30%)x(1-30%)x30%=0.7x0.7x0.3
2前四个顾客都不买,就是0.7的四次方
板凳
发表于 2008-10-17 04:51:00 | 只看该作者
楼上的真N, 思路清楚极了
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