Probability Lab

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Course Curriculum

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Chapter 1

12 sections

Introduction to Probabilities

Master fundamental concepts including sample spaces, events, and probability rules through interactive Venn diagrams and simulations.

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Chapter 2

15 sections

Discrete Random Variables

Explore probability mass functions, expected values, and variance. Work with binomial, geometric, and Poisson distributions.

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Chapter 3

18 sections

Continuous Random Variables

Understand probability density functions, cumulative distributions, and work with normal, exponential, and gamma distributions.

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Chapter 4

14 sections

Descriptive Statistics & Sampling

Learn data summarization techniques and observe how sample statistics behave through interactive sampling experiments.

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Chapter 5

16 sections

Estimation

Master point estimation, construct confidence intervals, and understand the principles of maximum likelihood estimation.

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Chapter 6

20 sections

Hypothesis Testing

Build intuition for statistical tests, p-values, significance levels, and power through interactive simulations.

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Chapter 7

17 sections

Linear Regression & Correlation

Analyze relationships between variables, fit models, and understand residuals through dynamic visualizations.

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Chapter 8

10 sections

Advanced Topics

Explore multivariate distributions, Bayesian inference, and modern statistical methods.

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