If a set of observations is normally distributed what precen
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If a set of observations is normally distributed what precent of these differ from the mean by more than 1.3σ
这是一道关于正态分布的问题
翻译:如果这一堆观测量是正态分布的,那么这些观测量中有百分之多少的观测量是距离平均值大于1.3个标准差的(那个符号是标准差的意思)
因为任何正态分布的变量都可以转化成标准正态分布变量(所有变量减去均值以后再除以标准差)
之后就可以查询标准正态分布比例表了,Φ(z=1.3)-Φ(z=-1.3)=0.9032-0.0968=0.8064
那个表应该叫normal table 能问出这个问题的你应该在教材附录部分有这个表吧
还有一些常见的数字可以记住 比如:超过一倍标准差的百分比:0.32(0.3174)
超过两倍标准差的百分比:0.05(0.0456)
如果有类似问题还可以来问我
翻译:如果这一堆观测量是正态分布的,那么这些观测量中有百分之多少的观测量是距离平均值大于1.3个标准差的(那个符号是标准差的意思)
因为任何正态分布的变量都可以转化成标准正态分布变量(所有变量减去均值以后再除以标准差)
之后就可以查询标准正态分布比例表了,Φ(z=1.3)-Φ(z=-1.3)=0.9032-0.0968=0.8064
那个表应该叫normal table 能问出这个问题的你应该在教材附录部分有这个表吧
还有一些常见的数字可以记住 比如:超过一倍标准差的百分比:0.32(0.3174)
超过两倍标准差的百分比:0.05(0.0456)
如果有类似问题还可以来问我
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