Homework 1
August 31, 2011
On-campus students should submit ONLY Problem 1 by Wednesday, September 7th!
No other problems need to be submitted for on-campus students.
Off-campus should submit all problems not labeled SS as an attachment in response to
t
SS-1.
1.
(d)
2. Solution to this problem will be posted separately.
SS-2.
(a)
P [|X | < 5, Y > 2, Z 2 2] = P [|X | < 5]P [Y > 2]P [Z 2 2]
= P [5 < X < 5](1 P [Y 2])(1 P [ 2 < Z < 2])
= [FX (5 ) FX (5)][1 FY (2)][1 FZ ( 2 ) + FZ ( 2)]
(b)
P [X > 5, Y < 0,
Homework 2
The following homework set has two types of problems. Those labeled SS are self-study
problems that do not need to be turned in. However, there are problems that I suggest you complete
to ensure that you understand all the material in the class
Homework 4
On-campus students: Submit answers to all problems not labeled SS by the end of class on
Friday, October 21st.
Off-campus students: Submit answers to all problems not labeled SS by Friday, October 28th.
J OINT D ENSITIES AND C ONDITIONAL D ENSI
Homework 3
On-campus students: Due by 10:40 AM on Monday, Oct. 3rd, 2011
Off-campus students: Due by 11:55 PM on Monday, Oct. 10th, 2011
(As usual, the problems labeled SS are for self-study and should not be submitted for grading.)
B INOMIAL , G EOMETR
Homework 6
These are all practice problems you do not need to submit anything.
The solutions will be provided later in the week.
SS-1. Problem 5.4 in Stark and Woods (Stark and Woods problems are at the end of this PDF.)
SS-2. Problem 5.8 in Stark and Woo
CourseSmart - Instructors - Print
http:/instructors.coursesmart.com/print?xmlid=978013604186
User name:
Book: Probability, Statistics, and Random Processes for Electrical Engineering, Th
JOHN SHEA
Edition Page:
No part of any book may be reproduced or tra
S2-1
EEL 5544 HW 2 Solutions, Fall 2008
Combinatorics
SS-1.
(a) With order and with repeats, the number of possible combinations (this is a dangerous
word to use here when talking about probabilities) is 603 = 216, 000.
(b) With order and without repeats,
Soln3-1
SS-1.
Soln3-2
1.
Soln3-3
Soln3-4
Soln3-5
2.
Soln3-6
Soln3-7
SS-2.
Soln3-8
SS-3.
Soln3-9
SS-4.
Soln3-10
SS-5.
(a)
fX (x)dx = 1
Area under triangle of height c and base 2a equals 1
1 (c)(2a) = 1
2
c = 1/a
The
fX (x) =
|ax2| , |x| a
0,
otherwise
Solutions to Homework 5
EEL 5544 - Noise in Linear Systems
SS-1.
1.
SS-2.
SS-3.
SS-4.
2.
(a) In MATLAB:
>
>
>
>
U=rand(1e5,1);
X=sqrt(U);
Y=U.2;
mean(X)
ans =
0.6666
> sqrt(mean(U)
ans =
0.7070
> mean(Y)
ans =
0.3332
> mean(U)2
ans =
0.2498
Clearly, E [f
EEL 5544 - Noise in Linear Systems
(Should be called Probability and Random Processes
for Electrical Engineers)
July 15, 2011
S YLLABUS
1. Catalog Description: (3 credits) Passage of electrical noise and signals through linear
systems. Statistical represe
Homework 5
On-campus students: Turn in to TA during class time on Wed., Nov. 9.
Off-campus students: Turn in all problems by 11:55 PM on Wed., Nov. 16.
SS-1. Show that E [X ] = for the random variable with distribution function FX (x) = (1 x1 )u(x
1).
1.
Homework 4 Assignment
INSTRUCTIONS
To receive full credit, your HW must be submitted electronically via Assessment
Link Homework 4 Answer Sheet and File Upload.
A scan of your entire homework must be uploaded before completing the
assessment. Electronic F
EEL 5544 Midterm Examination Number 1
October 7, 2009
The time for this test is 2 hours. This is a closed book test, but you are allowed one formula
sheet. The formula sheet cannot contain any examples. You should write your name on the
formula sheet and
EEL 5544 Midterm Examination Number 1
September 29, 2011
The time for this test is 2 hours and 10 minutes. This is a closed book test, but you are allowed
one formula sheet. The formula sheet cannot contain any examples. You should write your name
on the
EEL 5544 Midterm Examination Number 1
September 29, 2011
The time for this test is 2 hours and 10 minutes. This is a closed book test, but you are allowed
one formula sheet. The formula sheet cannot contain any examples. You should write your name
on the
EEL 5544 Midterm Examination Number 2
December 1, 2010
The time for this test is 2 hours. This is a closed book test, but you are allowed two formula
sheets. The formula sheets cannot contain any examples. You should write your name on the
formula sheets
EEL 5544 Midterm Examination Number 2
December 1, 2010
The time for this test is 2 hours. This is a closed book test, but you are allowed two formula
sheets. The formula sheets cannot contain any examples. You should write your name on the
formula sheets
EEL 5544 Midterm Examination Number 1
October 7, 2009
The time for this test is 2 hours. This is a closed book test, but you are allowed one formula
sheet. The formula sheet cannot contain any examples. You should write your name on the
formula sheet and