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    Advanced Statistics

    Deep dive into probability, distributions, and hypothesis testing.

    • Set Theory, Sample Spaces, and Events
      Completed
      16 min
    • Axioms of Probability (Kolmogorov)
      Completed
      18 min
    • Conditional Probability and Independence
      Completed
      21 min
    • Law of Total Probability and Bayes' Theorem
      Completed
      18 min
    • Probability Mass Functions (PMF) and Cumulative Distribution Functions (CDF)
      Completed
      23 min
    • Expected Value E[X], Variance Var[X], and Standard Deviation
      Completed
      6 min
    • Common Discrete Distributions (Binomial, Poisson, Geometric)
      Completed
      8 min
    • Moment Generating Functions (MGFs) for Discrete R.V.s
      Completed
      6 min
    • Probability Density Functions (PDF) and CDF
      Completed
      16 min
    • Expected Value and Variance via Integration
      Completed
      11 min
    • Common Continuous Distributions (Uniform, Exponential, Gamma)
      Completed
      24 min
    • MGFs for Continuous R.V.s
      Completed
      12 min
    • Joint PMFs and Joint PDFs
      Completed
      12 min
    • Marginal and Conditional Distributions
      Completed
      17 min
    • Covariance Cov(X, Y) and Correlation ρ
      Completed
      13 min
    • Independence of Random Variables
      Completed
      23 min