MktPraxis
Interactive Textbook Module Syllabus

Continuous Distributions & The Normal Model

Understand the smooth curves governing business metrics. Master Probability Density Functions, standard normal Z-scores, the Empirical Rule, Student's t-distribution, and heavy-tailed lognormal revenue models — with practical applications in search advertising and customer valuation.

⏱️ ~22 min reading & interactives 📑 9 sections 🎓 Level: Core undergraduate 📐 Math: Formulas shown 📚 Courses: Intro Business Statistics, Marketing Analytics 🏷️ Topics: Probability & distributions, Descriptive statistics
Full Interactive Chapter (Account Required) The complete chapter reading, embedded live mini-widgets, inline Check-Your-Understanding questions, and progress tracking are available to enrolled students and verified instructors.
Open in Textbook Reader (Sign In) Request Free Instructor Preview

Chapter Section Outline (9 Sections)

Topics and managerial frameworks covered in Continuous Distributions & The Normal Model:

  1. 1. The Smooth Continuum: Probability Density Functions
  2. 2. The Normal (Gaussian) Model
  3. 3. Standard Normal Z-Scores and the Empirical Rule
  4. 4. Finding Probabilities: Forward and Inverse Calculations
  5. 5. Flagship Marketing Case: Zenith Performance's Paid Search ROAS Tier Allocation
  6. 6. Student's t-Distribution: When the Standard Deviation is Estimated
  7. 7. Beyond the Bell Curve: Right Skew, Power Laws & Lognormal Models
  8. 8. Guided Practice: The Continuous Distribution Calculator
  9. 9. Auditing the AI Analyst: Catching the Normality Trap

Interactive Concept Mini-Widgets Embedded in This Chapter (1)

Students manipulate these interactive visual simulations directly inside the chapter reading before answering gated check-in questions:

Compare Normal vs Skewed Right-Tailed Curves

Students adjust skewness + sample size sliders to see how distribution shape affects mean vs. median.

Paired Browser-Based Analytics Calculators (2)

This chapter connects directly to these full MktPraxis analytical apps (with pre-loaded business case scenarios, CSV upload, and reproducible Python export):

📐 Continuous Distribution Calculator

Interactive probability and critical value calculator for Normal (Z), Student t, Chi-Square, and F distributions.

📊 Univariate Analyzer

Explore a single variable's distribution, outliers, and summary stats. Always start here.

Pre-loaded Business Scenarios: Influencer Campaign Performance Analysis · Customer Satisfaction Survey Analysis · E-commerce Transaction Analysis · Email Marketing Campaign Analysis · Customer Lifetime Value Analysis · Social Media Post Analytics · A/B Test Results — Messy Data Challenge! · PetPost Subscriber Health Analysis