EE 364 Introduction to Probability and Statistics for EE/CS Fall 2026

In Class Demos

Interactive notebooks for EE 364. See Running Demos for how to launch in Colab or set up locally.

  • Week 1: Introduction to Probability

    • Randomness Demo — Can you fake randomness? Small-sample variability and statistical regularity.

  • Week 2: Conditioning and Independence

    • Conditioning Demo — Simpson's paradox and Berkson's bias: phantom correlations from aggregation and selection.
    • Binary Channel — Total probability, Bayes' theorem, and channel capacity on the BSC.

  • Week 3: Counting and Discrete Distributions

    • Counting Demo — Birthday collisions and derangements converging to $1/e$.

  • Week 4: Discrete Distributions

    • Discrete Explorer — Interactive PMF/CDF for the discrete BEG-CUP distributions.
    • Geometric Waiting Times — Memoryless property, counterexample, and the coupon collector.
    • Poisson Demo — Poisson as a binomial limit. The Poisson process and rare-event approximation quality.

  • Week 5: Continuous Distributions and Detection

    • Continuous Explorer — Interactive PDF/CDF for continuous BEG-CUP distributions.
    • Signal Detection — Hypothesis testing, ROC curves, $d'$, and the $\alpha$/$\beta$ tradeoff.
    • Thick Tails — Gaussian vs Cauchy: why the sample mean doesn't converge.