# Assignments

The assignments from the class are presented here, by week.

WEEK # | TOPICS | ASSIGNMENTS |
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Part 1: Introduction to Probability |
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1 | Events and their Probability, Elementary Operations with Events, Total Probability Theorem, Independence, Bayes' Theorem | Homework 1 (PDF) |

2-3 | Random Variables and Vectors, Discrete and Continuous Probability Distributions | Homework 2(PDF) Homework 3(PDF) |

4 | Functions of Random Variables and Derived Distributions | Homework 4 (PDF) |

5-6 | Expectation of Random Variables and Functions of Random Variables Moments of Variables and Vectors |
Homework 5 (PDF) Homework 6 (PDF) |

7 | Conditional Second Moment Analysis | Homework 7 (PDF) |

8 | Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal Distributions | Homework 8 (PDF) |

Part 2: Introduction to System Reliability |
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9 | Time-invariant Second-Moment Reliability Analysis and Time-Invariant Full-Distribution Reliability Analysis | Homework 9 (PDF) |

Part 3: Introduction to Statistics |
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10 | Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis | Homework 10 (PDF) |

11 | Simple and Multiple Linear Regression |