(2009山东卷理)某工厂对一批产品进行了抽样检测.右图是根据抽样检

(2009山东卷理)某工厂对一批产品进行了抽样检测.右图是根据抽样检测后的     产品净重(单位:克)数据绘制的频率分布直方图,其中产品净重的范围是[96106],样本数据分组为[9698),[98100),[100102)[102104),[104106],已知样本中产品净重小于100克的个数是36,则样本中净重大于或等于98克并且小于104克的产品的个数是(        ).

A.90   B.75   C.  60     D.45

答案

A

解析:产品净重小于100克的概率为(0.050+0.100)×2=0.300, 已知样本中产品净重小于100克的个数是36,设样本容量为,,所以,净重大于或等于98克并且小于

104的产品的概率为(0.100+0.150+0.125)×2=0.75,所以样本中净重大于或等于98并且小于104的产品的个数是120×0.75=90.故选A.

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