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3 Discrete Random Variables and Probability Distributions31 Random Variables32 Probability Distributions for Discrete Random Variables33 Expected Values of Discrete Random Variables 34 The Binomial Pr
5 Joint Probability Distributionsand Random Samples51 Jointly Distributed Random Variables52 Expected Values, Covariance, and Correlation53 Statistics and Their Distributions54 The Distribution of the
习题选讲练习1 利用互不相容事件的概念及加法原理、乘法原理证明恒等式: 解 (1)考虑E:从含有n-1个黑球和1个白球的袋中任取k个球的组合,记A={没有取到白球}, 则由加法原理即得(1)式。 解 (2)考虑E:从含有n个黑球和n个白球的袋中任取n个球的组合,记Ak={取到k个白球},k=0,1,2,…,n, 则由加法原理即得(2)式。(可推广)练习1 甲、乙约定下午1点~2点间到某车站乘车,该
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习题选讲练习1 利用互不相容事件的概念及加法原理、乘法原理证明恒等式: 解 (1)考虑E:从含有n-1个黑球和1个白球的袋中任取k个球的组合,记A={没有取到白球}, 则由加法原理即得(1)式。 解 (2)考虑E:从含有n个黑球和n个白球的袋中任取n个球的组合,记Ak={取到k个白球},k=0,1,2,…,n, 则由加法原理即得(2)式。(可推广)练习1 甲、乙约定下午1点~2点间到某车站乘车,该
一简单随机抽样的概念一般地设一个总体含有N个个体从中逐个不放回地抽取n个个体作为样本(n≤N)如果每次抽取时总体内的各个个体被抽到的机会都相等就把这种抽样方法叫做简单随机抽样这样抽取的样本叫做简单随机样本【说明】简单随机抽样必须具备下列特点:(1)简单随机抽样要求被抽取的样本的总体个数N是有限的(2)简单随机样本数n小于等于样本总体的个数N(3)简单随机样本是从总体中逐个抽取的(4)简单随机抽样是
7 Statistical Intervals Based on a Single Sample 71 Basic properties of confidence intervals72 large-sample confidence intervals for a population mean and proportion73 intervals based on a normal popu
4 Continuous Random Variables and Probability Distributions 41 Continuous Random Variables and ProbabilityDensity Functions42 Cumulative Distribution Functions and Expected Values43 The Normal Distrib
5 Joint Probability Distributionsand Random Samples51 Jointly Distributed Random Variables52 Expected Values, Covariance, and Correlation53 Statistics and Their Distributions54 The Distribution of the
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