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已知一批电阻的电阻值服从正态分布,其电阻的规格限为TL=7.79,Tu=8.21。从该批电阻中随机抽取8个样品,测得x=8.05,S=0.125,则该批电阻的电阻值低于下规格限的概率约为(  )。

发布日期:2021-04-26

已知一批电阻的电阻值服从正态分布,其电阻的规格限为TL=7.79,Tu=8.21。从该批电阻中随机抽...
A

φ(2.08)

B

1-φ(2.08)

C

φ(16.64)

D

1-φ(16.64)

试题解析

正态分布

正态分布(Normal distribution),也称“常态分布”,又名高斯分布(Gaussian distribution),最早由棣莫弗(Abraham de Moivre)在求二项分布的渐近公式中得到。C.F.高斯在研究测量误差时从另一个角度导出了它。P.S.拉普拉斯和高斯研究了它的性质。是一个在数学、物理及工程等领域都非常重要的概率分布,在统计学的许多方面有着重大的影响力。正态曲线呈钟型,两头低,中间高,左右对称因其曲线呈钟形,因此人们又经常称之为钟形曲线。若随机变量X服从一个数学期望为μ、方差为σ2的正态分布,记为N(μ,σ2)。其概率密度函数为正态分布的期望值μ决定了其位置,其标准差σ决定了分布的幅度。当μ = 0,σ = 1时的正态分布是标准正态分布。

中文名
正态分布
别名
高斯分布
所属学科
概率论
外文名
normal distribution
发现者
棣莫弗(Abraham de Moivre)
应用领域
数学

电阻器

电阻器(Resistor)在日常生活中一般直接称为电阻。是一个限流元件,将电阻接在电路中后,电阻器的阻值是固定的一般是两个引脚,它可限制通过它所连支路的电流大小。阻值不能改变的称为固定电阻器。阻值可变的称为电位器或可变电阻器。理想的电阻器是线性的,即通过电阻器的瞬时电流与外加瞬时电压成正比。用于分压的可变电阻器。在裸露的电阻体上,紧压着一至两个可移金属触点。触点位置确定电阻体任一端与触点间的阻值。端电压与电流有确定函数关系,体现电能转化为其他形式能力的二端器件,用字母R来表示,单位为欧姆Ω。实际器件如灯泡,电热丝,电阻器等均可表示为电阻器元件。电阻元件的电阻值大小一般与温度,材料,长度,还有横截面积有关,衡量电阻受温度影响大小的物理量是温度系数,其定义为温度每升高1℃时电阻值发生变化的百分数。电阻的主要物理特征是变电能为热能,也可说它是一个耗能元件,电流经过它就产生内能。电阻在电路中通常起

中文名
电阻器
别名
电阻
外文名
Resistor
功能
限制电流大小

规格

常指生产的成品或所使用的原材料等规定的质量标准,常用在制造学和物理学中。

中文名
规格
读音
guīgé
外文名
specifications;
释义
设计规定的标准、要求或条件

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此试题出现在

初级质量师

(初级)质量专业基础理论与实务

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