**Probability** |

1 | C1 | Introduction, counting and sets (PDF) | Class 1 Slides with Solutions (PDF) |

C2 | Probability basics (PDF) | Class 2 Slides with Solutions (PDF) |

2 | C3 | Conditional probability, Bayes' theorem (PDF) | Class 3 Slides with Solutions (PDF) |

C4 | Discrete random variables, expectation (PDF) | Class 4 Slides with Solutions (PDF) |

3 | C5 | Variance, continuous random variables (PDF) Gallery of continuous variables, histograms (PDF) | Class 5 Slides with Solutions (PDF) Class 5 Slides, cont'd with Solutions (PDF) |

4 | C6 | Expectation, variance, law of large numbers and central limit theorem (PDF) | Class 6 Slides with Solutions (PDF) |

C7 | Joint distributions: Independence, covariance and correlation (PDF) | Class 7 Slides with Solutions (PDF) |

5 | C8 | Review for exam 1 (PDF) | Class 8 Slides with Solutions (PDF) |

C9 | No slides; exam 1 during class | |

**Statistics: Bayesian Inference** |

5 | C10 | Introduction to statistics; maximum likelihood estimates (PDF) | Class 10 Slides with Solutions (PDF) |

6 | C11 | Bayesian updating with known discrete priors (PDF) | Class 11 Slides with Solutions (PDF) |

C12 | Bayesian updating: Probabilistic prediction; odds (PDF) | Class 12 Slides with Solutions (PDF) |

7 | C13 | Bayesian updating: Continuous prior, discrete data (PDF) | Class 13 Slides with Solutions (PDF) |

C14 | Beta distributions: Continuous data (PDF) | Class 14 Slides with Solutions (PDF) |

8 | C15 | Conjugate priors; choosing priors (PDF) | Class 15 Slides with Solutions (PDF) |

C16 | Probability intervals (PDF) | Class 16 Slides with Solutions (PDF) |

**Statistics: Frequentist Inference—Null Hypothesis Significance Testing (NHST)** |

9 | C17 | Frequentist methods; NHST (PDF - 1.1MB) | Class 17 Slides with Solutions (PDF - 1.4MB) |

C18 | NHST II: Significance level, power, t-tests (PDF) | Class 18 Slides with Solutions (PDF) |

10 | C19 | NHST III: Gallery of tests (PDF) | Class 19 Slides with Solutions (PDF) |

C20 | Comparison of Bayesian and frequentist inference (PDF) | Class 20 Slides with Solutions (PDF) |

11 | C21 | Review for exam 2 (PDF) | Solutions file: Review of exam 2 (PDF) |

**Statistics: Confidence Intervals; Regression** |

12 | C22 | Confidence intervals for normal data (PDF) | Class 22 Slides with Solutions (PDF) |

C23 | Confidence intervals II (PDF) | Class 23 Slides with Solutions (PDF) |

13 | C24 | Bootstrap confidence intervals (PDF) | Class 24 Slides with Solutions (PDF) |

C25 | Linear regression (PDF) | Class 25 Slides with Solutions (PDF) |

14 | C26 | Problems file: Review for final exam (PDF) Solutions file: Review of final exam (PDF) |

C27 |
Problems file: Review for final exam, cont'd (PDF) Solutions file: Review of final exam, cont'd (PDF) |