Ben Collier, PhD

Tepper · MS in Business Analytics

46-880 Introduction to Probability and Statistics

46-880

Probability and inference taught twice over, in Excel and in Python, through business decisions.

The first quantitative course in the full-time MS in Business Analytics: probability, distributions, sampling, estimation, hypothesis tests, and regression.

Topics

  1. Probability and Bayes' theorem
  2. Discrete and continuous random variables and their distributions
  3. The normal distribution and joint distributions
  4. Sampling and the central limit theorem
  5. Interval estimation
  6. Hypothesis testing
  7. Regression, and inference with regression

How the course works

Every distribution is taught twice, once with its Excel formula and once with its Python call, and nearly every example is a business decision: overbooking a flight, a cosmetics launch whose chance of success moves from 30% to 60% after a market test, tea bottles that must hold 750 ml. Sessions open with a puzzle or a question from quant interviews.

Halfway through the seven-week term I changed the pace: more worked examples in class, practice sets with solutions, a short written summary of each module, and walkthrough videos for the hardest problems.

How the course developed

I taught the MS in Business Analytics program's first-term statistics course in Fall 2024, in two morning sections. I reworked the slide decks I inherited and used Excel and Python alongside the textbook, so that every idea had both a formula and a working example.

Offerings

  • Fall 2024 full-time

Students received the problem sets and walkthrough videos on Canvas.

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