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高射炮打飞机中的1些概率问题
摘要
高射炮打飞机的问题是军事上的1个很重要的实际问题,本文作者利用概率统计知识对用高射炮打飞机时如何进行火力部署做1些探讨,并得到了两个主要结果:(1)各们炮的命中率相同时,应平均使用火力。(2)当各门炮的命中率不相同时,应按照各门炮的命中率之积等于所有炮击不中的概率之积的k次方根(指k飞机的架数)。
关键词:随机事件;独立性;数学期望。
Some problems of probability about
that high bullets shoot aeroplanes
ABSTRACT
The problem about high bullets shoot aeroplanes is a very important realitic problem of military affairs .This essay ,using intellectual of probability ,inquires into how to dipose firepower when we use high bullets to shoot aeroplanes ,and gets two major interesting conclusions.First, we should use firepower equally when the percentage of hits of each bullet is the same. Secend,when the percentage of hits of each bullet is different,we should use firepower according to power root of k(K refers to the number of the aeroplane).
Keywords:random event;independence;expectation of mathmatics.