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Probability & Statistics / 概率论与数理统计

Understand probability theory and statistical analysis. Learn to analyze data and make informed decisions.

Course Content / 课程内容

1

Basic Probability / 概率基础

8 lessons

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Sample Spaces
Probability Rules
Conditional Probability
Independence
2

Random Variables / 随机变量

10 lessons

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Discrete RVs
Continuous RVs
Expected Value
Variance
3

Probability Distributions / 概率分布

12 lessons

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Binomial
Normal
Poisson
Exponential Distributions
4

Descriptive Statistics / 描述统计

8 lessons

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Measures of Center
Measures of Spread
Graphical Displays
5

Inferential Statistics / 推断统计

10 lessons

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Sampling Distributions
Confidence Intervals
Central Limit Theorem
6

Hypothesis Testing / 假设检验

8 lessons

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Null and Alternative Hypotheses
p-values
Type I and II Errors

Course Resources / 课程资源

Lecture Notes

Download comprehensive notes for all chapters

Practice Problems

Extensive problem sets with solutions

Video Tutorials

Watch detailed video explanations