Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Problem Set 1: Solutions
Due: September 15, 2010
1
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
6.041/6.431 Fall 2010 Quiz 2 Solutions
Problem 1.
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2009)
Quiz 2 Solutions:
November 3, 2009
Problem 2. (49
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
6.041/6.431 Spring 2009 Quiz 1
Wednesday, March 11, 7:30  9:30 PM.
SOLUTIONS
Question
0
1
2
Name:
3
Recitation Instructor:
Part
Score
all
a
b
c
d
e
f
a
b
c
d
e
f
g
h
Total
Out of
2
40
5
2
5
5
5
5
2
2
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Quiz 1 Solutions:
October 12, 2010
Problem 1.
1.
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2009)
Quiz 1 Solutions:
October 13, 2009
1. (10 p oints)
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
6.041/6.431 Spring 2009 Final Exam
Thursday, May 21, 1:30  4:30 PM.
Question
0
1
2
3
4
Name:
Recitation Instructor:
5
6
7
Part
Score
all
all
a
b
c
a
b
c
a
b
a
b
c
d
e
a
b
Total
Write your solutions
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
6.041/6.431 Fall 2010 Final Exam Solutions
Wednesd
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2009)
Final Solutions:
December 15, 2009
Problem 2. (20
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Problem Set 6: Solutions
1. Let us draw the region
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Problem Set 5: Solutions
1. (a) Because of the req
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Problem Set 4: Solutions
1. (a) From the joint PMF
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Problem Set 3 Solutions
Due September 29, 2010
1.
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
Massachusetts Institute of Technology
Department of Electrical Engineering & Computer Science
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Problem Set 2: Solutions
Due September 22, 2010
1.
Probabilistic Systems Analysis and Applied Probability
EECS 6.431

Fall 2010
6.041/6.431 Spring 2008 Quiz 2
Wednesday, April 16, 7:30  9:30 PM.
SOLUTIONS
Name:
Question
0
1
2
Recitation Instructor:
TA:
3
6.041/6.431:
Part
Score
all
a
b
c
d
e
f
a
b
c
d
e
Total
Out of
3
36
4
5