# Probability and Random Variables

Week 02, Spring 2022

**Start:**Monday, January 24**End:**Friday, January 28

## Summary

This week will be a whirlwind recap and review of probability and random variables. In a perfect world, you would have already learned most of if not all of this content already. Because this week is mostly review, it will be a lot of content.

## Learning Objectives

After completing this week, you are expected to be able to:

*Use*basic rules of probability including Bayes’ Theorem.*Understand*the definition of a random variable.*Calculate*probabilities given the distribution of a random variable.*Identify*independence and use independence to carry out probability calculations.*Understand*and*use*conditional and marginal distributions.*Perform*transformations of random variables.*Use*the`d*`

,`p*`

,`q*`

and`r*`

functions for probability calculations in R.

## Reading

Source | Section |
---|---|

Wasserman |
1.1 - 1.7 |

Wasserman |
2.1 - 2.12 |

Evans and Rosenthal | 1.1 - 1.6 |

Evans and Rosenthal | 2.1 - 2.10 |

Marden | 1.1 - 1.6 |

Marden | 3.1 - 3.4 |

Marden | 4.1 - 4.4 |

Marden | 5.1 - 5.6 |

Marden | 6.1 - 6.8 |

Marden | 7.1 - 7.8 |

## Video

Title and Slides | Link | Mirror |
---|---|---|

2.0 - Welcome to Week 02! | 2.0 - YouTube | 2.0 - ClassTranscribe |

2.1 - Probability | 2.1 - YouTube | 2.1 - ClassTranscribe |

2.2 - Random Variables | 2.2 - YouTube | 2.2 - ClassTranscribe |

2.3 - Many Random Variables | 2.3 - YouTube | 2.3 - ClassTranscribe |

## Assignments

**Homework 01**- Source:
`R`

Markdown - Due: Monday, January 31
- Submission: Gradescope
- Solution: Canvas

- Source:

## Office Hours

Staff and Link | Day | Time |
---|---|---|

Zoom with David |
Monday | 3:00 PM - 4:00 PM |

Zoom with Eugene |
Monday | 9:00 PM - 10:00 PM |

Zoom with Eugene |
Thursday | 12:00 PM - 1:00 PM |

Zoom with David |
Thursday | 5:00 PM - 7:00 PM |

Discussion Forum | Any! | Any! |