Teaching

CME 106 ― Introduction to Probability and Statistics for Engineers
Star


My twin brother Afshine and I created this set of cheatsheets when I was a TA for Stanford's CME 106 class in Winter 2018. They can (hopefully!) be useful to all future students taking this course as well as to anyone else interested in learning the fundamentals of Probabilities and Statistics.

Cheatsheet


Probability
  • • Basics and probability distributions
  • • Random variables, expectation and moments
  • • Conditional probability, joint distributions

  PDF Web  

Statistics
  • • Mean and variance estimation
  • • Confidence intervals, hypothesis testing
  • • Regression and correlation analysis

  PDF Web  


Takeaways


Key concepts
  • • Using a distribution table
  • • Mean and variance confidence intervals
Distribution tables
  • • Gaussian distribution
  • • Student's t-distribution
  • • Chi-squared distribution
Common questions
  • • Definition of poker hands

Matlab tips


Getting started
  • • Installation and first steps
  • • Built-in functions, vectors, matrices, operators
  • • Functions, plots and good practices
Course functionalities
  • • Discrete distribution functions: uniform, binomial, Poisson
  • • Continuous distribution functions: uniform, normal, exponential