UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Processes
Discussion 8
Fall 2015
Date: Wednesday, October 21, 2015
Problem 1. A two-dimensional Poi
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Processes
Problem Set 8
Fall 2015
Issued: Thursday, October 22, 2015
Due: 9:00am, Thursday, October
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Processes
Problem Set 4
Fall 2015
Issued: Thursday, September 24, 2015
Due: 9:00am Thursday, Octobe
EE 126: Probability and Random Processes
Fall 2011
Lecture 23 November 29
Lecturer: Prof. Anant Sahai
Scribe: Lisa Yan
This lecture covers:
Introduction to Markov Chains
A Vector View on Markov Chai
EE 126: Probability and Random Processes
Fall 2011
Lecture 22 November 22
Lecturer: Prof. Anant Sahai
Scribe: Kevin Shih
This lecture covers:
Review of the AEP
Bernoulli Process
Poisson Process
22.
EE 126: Probability and Random Processes
Fall 2011
Lecture 20 November 15
Lecturer: Prof. Anant Sahai
Scribe: Soi Lon, Lei
This lecture covers:
The Weak Law of Large Numbers
99% of the time!
Centra
EE 126: Probability and Random Processes
Fall 2011
Lecture 19 November 10
Lecturer: Prof. Anant Sahai
Cherno Bounds and Transition to CLT
Scribe: Jared Porter
This lecture covers:
Last Time
Actual P
EE 126: Probability and Random Processes
Lecture 18 November 15
Lecturer: Prof. Anant Sahai
Fall 2011
Scribe: Brian Lin
This lecture covers:
Law of Large Numbers
Intro to Central Limit Theorem
Markov
EE 126: Probability and Random Processes
Fall 2011
Lecture 17.5 November 1
Lecturer: GSI Se Yong Park
.5
Scribe: Min Su Chung
This lecture covers:
Minimum Mean Square Error (MMSE)
Linear Least Squar
EE 126: Probability and Random Processes
Fall 2011
Lecture 17: 10/27/11
Lecturer: Prof. Anant Sahai
Scribe: Brian Suh
This lecture covers:
General 2D Case
n-dimensional Gaussian
17.1
Recap
In the la
EE 126: Probability and Random Processes
Fall 2011
Lecture 17.1 Nov 1
Lecturer: TA. Se Yong Park
.1
Scribe: Chao Liu
This is a review lecture, we go over two problems in the exercise exam:
practice m
Fall 2009: EECS126 Practice Midterm 1
No Collaboration Permitted. One sheet of notes is permitted. Turn in with your exam.
Be clear and precise in your answers
Write your name and student ID number on
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Process
Solution 4
Fall 2015
Issued: Friday, October 2, 2014
Self-graded Scores Due: 5:00pm Monday,
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Process
Solution 3
Fall 2015
Issued: Thursday, September 17, 2014
Self-graded Scores Due: 5:00pm Mo
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Processes
Problem Set 3
Fall 2015
Issued: Thursday, September 10, 2015 Due: 9am, Thursday, Septembe
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Process
Solution 1
Fall 2015
Issued: Thursday, September 3, 2015
Self-graded Scores Due: 5pm, Monda
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Processes
Problem Set 2
Fall 2015
Issued: Thursday, September 03, 2015 Due: 9am, Thursday, Septembe
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Processes
Problem Set 1
Fall 2015
Issued: Thursday, August 27, 2015
Due: 9am, Thursday, September 0
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Process
Solution 2
Fall 2015
Issued: Thursday, September 10, 2015
Self-graded Scores Due: 5:00pm Mo
Fall 2009: EECS126 Practice Midterm 2
No Collaboration Permitted. One sheet of notes is permitted. Turn in with your exam.
Be clear and precise in your answers
Write your name and student ID number on
EE 126: Probability and Random Processes
Fall 2011
Lecture 15 October 20
Lecturer: Prof. Anant Sahai
Scribe: Yin Huang
This lecture covers:
Gaussian random variables continued: Gaussian in 2 dimensio
EE 126: Probability and Random Processes
Fall 2011
Lecture 14 October 18
Lecturer: Prof. Anant Sahai
Scribe: Andrew Lee
This lecture covers:
The Gaussian Random Variable
Derivation
Properties
The
EECS 126 Probability and Random Processes University of California, Berkeley: Spring 2017
Kannan Ramchandran
February 13, 2017
Midterm Exam 1
Last name
First name
SID
Name of student on your left:
Nam
EECS 126 Probability and Random Processes University of California, Berkeley: Spring 2017
Kannan Ramchandran
March 21, 2017
Midterm Exam 2 (Solutions)
Last name
First name
SID
Name of student on your
EECS 126 Probability and Random Processes University of California, Berkeley: Spring 2017
Kannan Ramchandran
March 21, 2017
Midterm Exam 2
Last name
First name
SID
Name of student on your left:
Name o
EECS 126 Probability and Random Processes
Kannan Ramchandran
University of California, Berkeley: Fall 2014
September 19, 2014
(Practice Version) Midterm Exam 1
Last name
First name
SID
Rules.
DO NOT
UC Berkeley
Department of Electrical Engineering and Computer Sciences
EE126: Probability and Random Process
Solution of Sample Midterm
Fall 2014
Problem 1.
(a)
4
3
P (3Q) + P (4K) P (3Q&4K) =
48
7
+
So rrrr,a,us
FaIl 2009: EECS126 Finat
No Gollaborati,an Pennitted,. Two sheets of notes permitted,. Tfu,rn i,n wdth
yaur
e&o,nx.
Be clear and precise in your answerg
your
Write
name and student ID num
EECS 126 Probability and Random Processes University of California, Berkeley: Spring 2011
Abhay Parekh April 12, 2011
Midterm Exam
Last name First name SID
Rules.
0 You have 80 mins (3:40pm 5p
Recitation 4
1. (a) Derive the expected value rule for functions of random variables E[g(X)] =
!
x g(x)pX (x).
(b) Derive the property for the mean and variance of a linear function of a random variab