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MAST 221

Applied Probability

3 credits · Undergraduate

Fall 2026

Topics

  • Chapter 2: Probability
  • Introduction
  • Sample Spaces
  • Events
  • The Probability of an Event
  • Some Rules of Probability
  • Conditional Probability
  • Independent Events
  • Bayes’ Theorem
  • Chapter 3: Probability Distributions and Probability Densities
  • Random Variables
  • Probability Distributions
  • Continuous Random Variables
  • Probability Density Functions
  • Multivariate Distributions
  • Marginal Distributions
  • Conditional Distributions
  • Chapter 4: Mathematical Expectation
  • The Expected Value of a Random Variable
  • Moments
  • Chebyshev’s Theorem
  • Moment Generating Functions
  • Product Moments
  • Moments of Linear Combinations of Random Variables
  • Conditional Expectations and Conditional Variances
  • Chapter 5: Special Probability Distributions
  • The Discrete Uniform Distribution
  • The Bernoulli Distribution
  • The Binomial Distribution
  • The Negative Binomial Distribution and Geometric Distribution
  • The Hypergeometric Distribution
  • The Poisson Distribution
  • The Multinomial Distribution
  • Chapter 6: Special Probability Densities
  • The Uniform Distribution
  • The Gamma, Exponential and Chi-square Distributions
  • The Beta Distribution
  • The Normal Distribution
  • The Normal Approximation to the Binomial Distribution
  • The Normal Approximation to the Poisson Distribution

Readings

  • Listed textbook (requirement not stated): I. Miller and M. Miller. John E. Freund’s Mathematical Statistics with Applications, 8th edition. Pearson Education, 2014.
    Listed reading
Fall 2025 · MAST 221

Readings

  • John E. Freund’s Mathematical Statistics with Applications, 8th Edition, by I. Miller and M. Miller, Pearson Education, Inc. (2014).
    Listed reading; requirement unspecified
Fall 2023 · MAST 221

Readings

  • John E. Freund’s Mathematical Statistics with Applications, 8th Edition, by I. Miller and M. Miller, Pearson Education, Inc. (2014).
    Listed reading; requirement unspecified
Fall 2022 · MAST 221

Readings

  • John E. Freund’s Mathematical Statistics with Applications, 8th Edition, by I. Miller and M. Miller, Pearson Education, Inc. (2014).
    Listed reading; requirement unspecified
Fall 2021 · MAST 221

Readings

  • John E. Freund’s Mathematical Statistics with Applications, 8th Edition, by I. Miller and M. Miller, Pearson Education, Inc. (2014).
    Listed reading; requirement unspecified
Sources