Course: Probability Theory and Statistics - 2020/21 - 76210

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General

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- Forum
  
  Announcements Forum
- External tool
  
  READINGS External tool
Basic Information
- File
  
  Organization File
Script
- File
  
  Script "Probability Theory and Statistics" File
  
  A summary of the book "Probability and Statistics for Engineers and Scientists" by Sheldon M. Ross, written by Rafael Penaloza.
Lecture Notes: By Chapters
These are my lectures notes organised by Chapters. The material for each day is a part of these. I hope that the organisation by chapters will make it easier for students to revise the material of the course and to prepare for the exam.
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  1. Introduction to Probability Theory File
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  2. Random Variables File
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  3.1. Special Random Variables File
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  3.2. The Normal Distribution File
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  4. Sampling File
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  5. Estimation with Confidence Intervals File
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  6. Hypothesis Testing File
Lectures Day By Day: Notes + Quizzes
Lecture Recordings
- URL
  
  Video Recordings of PTS Lectures URL
  
  Select "Sort by: Publish date" to find the last recordings
Lecture Notes (My Drafts)
- File
  
  Tue, 06.10.20 File
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  Thu, 08.10.20 File
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  Tue, 13.10.20 File
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  Thu, 15.10.20 File
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  Tue, 20.10.20, Part 1 File
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  Tue, 20.10.20, Part 2 File
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  Thu, 22.10.20 File
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  Tue, 03.11.20 File
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  Thu, 05.11.20 File
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  Tue, 10.11.20 File
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  Tue, 17.11.20 File
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  Tue, 19.11.20 File
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  Tue, 24.11.20 (Weak Law of Large Numbers) File
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  Tue, 26.11.20 (Bernoulli, Binomial and Uniform) File
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  Tue, 1.12.20 (Exponential and Poisson) File
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  Fri, 12.12.20 (Normal) File
Derivatives and Integrals
Labs
- Choice
  
  Lab Groups Choice
- File
  
  Lab 1: Probabilities File
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  Lab 2: Independence and Uniform Probabilities File
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  Lab 3: Integrals File
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  Lab 4: Distributions, Densities and Expected Values File
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  Lab 5: Joint Distributions and Expected Values File
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  Lab 6: Variance and Estimates with Inequalities File
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  Lab 7: Random Variables File
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  Lab 8: The Normal Distribution File
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  Lab 9: Estimation, Confidence Intervals, and p-Values File
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  Lab 10: Confidence Intervals, Hypothesis Testing and p-Values File
Assignments
Tables and other Resources
R Resources
- URL
  
  Download RStudio URL
  
  From here you can download RStudio, a development environment for the R language.
- File
  
  Introduction to R File
- File
  
  R Manual File
Previous Exams
- File
  
  Exam June 2019 File
- File
  
  Exam September 2019 File
- File
  
  Exam September 2019: Sample Solutions File
Online Exam 1 February 2021

Not available
Online Exam 15 June 2021

Not available
Online Exam 6 September 2021

Not available