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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