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标题: prep-DS2-93 [打印本页]

作者: xiaoshuyiyi    时间: 2010-6-29 14:51     标题: prep-DS2-93

The lifetimes of all batteries produced by certain company in a year have a distribution that is symmetric about the mean m. If the distribution has a standard deviation of d, what percent of the distribution is greater than m+d?
(1) 68 percent of the distribution lies in the interval from m-d to m+d, inclusive
(2)16 percent of the distribution is less than m-d
答案是D,题干中给出的标准差这个条件怎么用呀?
作者: iRoy    时间: 2010-6-29 17:18

(1) 因为这个概率分配时对称的,可以推知 比m-d小的概率 = 比m+d大的概率 = (1 – 68%) / 2 = 16%
(2) 同上,比m-d小的概率 = 比m+d大的概率 = 16%
作者: caicainiao    时间: 2010-6-29 17:21

对称分布的distribution,1告诉68%在m-d m+d之间,那么根据对称剩下的32%有一半比m+d大,即16%,同理第二个选项




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