几何分布(Geometric Distribution)的MGF推导


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嗯,丙绅老师,我已经把Geometric Distribution的MGF推导出来了!
脑补MGF:MGF-维基百科

机率课作业题: 几何分布的MGF推导
机率课作业题:几何分布的MGF推导


几何分布:每次试验成功率为p,x是取得一次成功所需要的试验次数。

MGF推导:





最后一步用到等比数列求和公式,突然发现好简单...