18.600 | Fall 2019 | Undergraduate

Probability and Random Variables

Exams

Exams are closed book without cheat sheets, but this story sheet (PDF) (which is basically what a cheat sheet for this course would look like if there were one) may help you study. Math fluency requires knowing at least a few things by heart: Pythagorean theorem, definition of sine, etc. The red items on the story sheet are things students should know (or be able to quickly derive) by the end of the course: the “basic discrete random variables” by the first midterm, and the “basic continuous random variables” and “moment generating and characteristic function” facts by the second midterm. Try to learn the story that goes with each concept while it is being covered. Some of these items are pretty easy to remember (or deduce from basic principles) once you have the concepts down.

EXAMS # PRACTICE EXAMS & Solutions EXAMS SOLUTIONS

Midterm 1

Spring 2019 Midterm Exam 1 (PDF)

Spring 2019 Midterm Exam 1 Solutions (PDF)

Spring 2018 Midterm Exam 1 (PDF)

Spring 2018 Midterm Exam 1 Solutions (PDF)

Spring 2017 Midterm Exam 1 (PDF)

Spring 2017 Midterm Exam 1 Solutions (PDF)

Spring 2016 Midterm Exam 1 (PDF)

Spring 2016 Midterm Exam 1 Solutions (PDF)

Spring 2014 Midterm Exam 1 (PDF)

Spring 2014 Midterm Exam 1 Solutions (PDF)

Fall 2012 Midterm Exam 1 (PDF)

Fall 2012 Midterm Exam 1 Solutions (PDF)

Fall 2011 Midterm Exam 1 (PDF)

Fall 2011 Midterm Exam 1 Solutions (PDF)

Spring 2011 Midterm Exam 1 (PDF)

Spring 2011 Midterm Exam 1 Solutions (PDF)

Fall 2019 Midterm Exam 1 (PDF)

Fall 2019 Midterm Exam 1 Solutions (PDF)

Midterm 2

Spring 2019 Midterm Exam 2 (PDF)

Spring 2019 Midterm Exam 2 Solutions (PDF)

Spring 2018 Midterm Exam 2 (PDF)

Spring 2018 Midterm Exam 2 Solutions (PDF)

Spring 2017 Midterm Exam 2 (PDF)

Spring 2017 Midterm Exam 2 Solutions (PDF)

Spring 2016 Midterm Exam 2 (PDF)

Spring 2016 Midterm Exam 2 Solutions (PDF)

Spring 2014 Midterm Exam 2 (PDF)

Spring 2014 Midterm Exam 2 Solutions (PDF)

Fall 2012 Midterm Exam 2 (PDF)

Fall 2012 Midterm Exam 2 Solutions (PDF)

Fall 2011 Midterm Exam 2 with Solutions (PDF)

Spring 2011 Midterm Exam 2 (PDF)

Spring 2011 Midterm Exam 2 Solutions (PDF)

Fall 2019 Midterm Exam 2 (PDF)

Fall 2019 Midterm Exam 2 Solutions (PDF)

Final Exam

Practice Final Exam (PDF)

Practice Final Exam Partial Solutions (PDF)

Spring 2019 Final Exam (PDF)

Spring 2019 Final Exam Solutions (PDF)

Spring 2018 Final Exam (PDF)

Spring 2018 Final Exam Solutions (PDF)

Spring 2017 Final Exam (PDF)

Spring 2017 Final Exam Solutions (PDF)

Spring 2016 Final Exam (PDF)

Spring 2016 Final Exam Solutions (PDF)

Spring 2014 Final Exam (PDF)

Spring 2014 Final Exam Solutions (PDF)

Fall 2012 Final Exam (PDF)

Fall 2012 Final Exam Solutions (PDF)

Spring 2011 Final Exam (PDF)

Spring 2011 Final Exam Solutions (PDF)

Fall 2019 Final Exam (PDF)

Fall 2019 Final Exam Solutions (PDF)

Course Info

Departments
As Taught In
Fall 2019
Learning Resource Types
Problem Sets
Exams with Solutions
Lecture Notes
Online Textbook
Instructor Insights