Probability Theory

Course code: AE2-E01

Summary Grade: 6.2

You can find the probability summary below. It contains the most important parts of the reader.

• Basic Concepts (57kb)
  Some basic concepts, like set theory and basic probability theory, are explained in this file.
• Random Variables And Distribution (91kb)
  What are random variables? And what kind of distribution functions exist? Read it here.
• Multiple Random Variables (80kb)
  What should we do if we have more random variables? How can we check whether they depend on each other? Find it out using this file.
• Transformations (107kb)
  We can transform and combine random variables into other random variables. This chapter describes how it works.
• Estimation (82kb)
  When we don't know everything about random variables, we have to estimate things. Read more about estimation here.
• Hypothesis Tests (81kb)
  When you need to decide between different variables, you use hypothesis tests. Care to find out what testing methods there are?

Full Version

• Probability Theory Summary - Full Version (221kb)
  All above files in one single file.

Example Exams Grade: 9.4

I've worked out two old Probability Theory exams. You can find the exams (with and without solutions) below. I recommend you to try the version without solutions first.

• Exam July 2008 Problems (75kb)
  
• Exam July 2008 Problems and Solutions (119kb)
  
• Exam July 2007 Problems (70kb)
  
• Exam July 2007 Problems and Solutions (120kb)
  

Example Exams (Handwritten) Grade: 3.8

I've recieved two handwritten files containing workouts of probability exams. They both mainly cover the exams of 2005 and 2006. However, not all questions are worked out. And there are a few minor errors in the files as well.

• Handwritten Exams - File 1 (3.5Mb)
  
• Handwritten Exams - File 2 (2Mb)