Statistical Distributions | 统计分布

📚 Statistical Distributions | 统计分布

Statistical distributions describe how probabilities are spread across possible values of a random variable. In the Edexcel A-Level Statistics specification, you need to recognise discrete distributions such as the binomial and Poisson, and continuous distributions such as the normal. You must also be able to calculate probabilities, expectations, variances, and use approximations correctly.

统计分布描述随机变量可能取值的概率分布情况。在爱德思 A-Level 统计大纲中，你需要掌握离散分布（如二项分布和泊松分布）以及连续分布（如正态分布），并能正确计算概率、期望和方差，合理使用近似方法。

1. Random Variables and Probability Distributions | 随机变量与概率分布

A random variable X takes numerical values determined by a chance experiment. It is discrete if its values can be listed, such as 0, 1, 2, … . The probability distribution of X is described by a probability mass function P(X = x), which must satisfy two conditions: each probability must be between 0 and 1 inclusive, and the total probability over all possible values must equal 1.

随机变量 X 表示由随机试验决定的数值结果。如果它的取值可以一一列出，如 0、1、2……，则称其为离散随机变量。X 的概率分布由概率

Published by TutorHao | A-Level 统计 Revision Series | aleveler.com

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