University of Illinois
Spring 2017
ECE 310: Problem Set 9 Solution
1. (a) The Nyquist sampling period Tn =
2maxf requency
=
1
24000
Figure 1:
(b)
(c) We need to find a T where some aliasing will occur
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Galleries.css - Common Structure
This is where we define common layout for structures that are truly close to common across the different
Galleries sites. To make sure this works we need to follo
ECE 313 Final Project: Tasks 0,1,2 Progress Report
Jesse Zhang, Pranav Bachu, Jason Hwang
Task 0
Our work for task 0 was to simply follow the instruction given in the slides. For
each patients all_dat
University of Illinois
Spring 2017
ECE313(SectionG)
Homework5Solution
Problem1
X
1
2
3
4
5
6
a)
b)
P(X) X
(6+61)/36=0.31
0(x0)
1(0<x1)
(5+51)/36=0.25
2(1<x2)
(4+41)/36=0.19
3(2<x3)
(3+31)/36=0.14
4(3<
University of Illinois
Spring 2017
ECE313(SectionG)
Homework6Solution
Problem1IfthedistributionfunctionofFisgivenby
WeseethatF(CDFofB)isstairstepfunction.WecalculatethepmfofBforthevalues
0,1,2,3,and3.
Discrete and Continuous Randonm
Variables; Group Activity Solution
ECE 313
Probability with Engineering Applications
Lecture 9
Professor Ravi K. Iyer
Department of Electrical and Computer Engineering
More on Bernoulli trials: Improving
Reliability with Triple Modular Redundancy
ECE 313
Probability with Engineering Applications
Lecture 7
Professor Ravi K. Iyer
Department of Electrical and Computer
More on Bernoulli trials: Improving
Reliability with Triple Modular Redundancy
ECE 313
Probability with Engineering Applications
Lecture 7
Professor Ravi K. Iyer
Department of Electrical and Computer
Important Discrete Distributions:
Poisson, Geometric, & Modified Geometric
ECE 313
Probability with Engineering Applications
Lecture 10
Ravi K. Iyer
Department of Electrical and Computer Engineering
U
University of Illinois
Spring 2017
ECE313(SectionG)
Homework4
DueDate:Wednesday,March1,11:00AMintheclass
WriteyournameandNetIDontopofallthepages.Showyourworktogetpartialcredit.
Problem1Foreachofthefol
University of Illinois
Fall 2016
ECE313(SectionF)
Homework4
DueDate:Wednesday,September28,11:00AMintheclass
WriteyournameandNetIDontopofallthepages.Showyourworktogetpartialcredit.
Problem1Foreachofthe
University of Illinois
Spring 2015
ECE 313: Final Exam
Monday, May 11, 2015
1:30 p.m. 4:30 p.m.
1. [18 points] You are in a gambling game, which has four overlapping events: A, B, C
and D. For all par
University of Illinois
Spring 2015
ECE 313: Hour Exam II
Wednesday, April 15, 2015
7:00 p.m. 8:15 p.m.
1. [14 points] Let c be a constant and X be a random variable with pdf
1 2
9u
fX (u) =
u [0, c],
University of Illinois
Spring 2015
ECE 313: Hour Exam II
Wednesday, April 15, 2015
7:00 p.m. 8:15 p.m.
Name: (in BLOCK CAPITALS)
NetID:
Signature:
Section:
2 E, 9:00 a.m.
2 C, 10:00 a.m.
2 D, 11:00 a.
University of Illinois
Summer 2015
ECE 313: Exam II
Thursday, July 23, 2015
4:00 p.m. 5:15 p.m.
1013 ECEB
1. [22 points] Let X have the probability density function (pdf) fX (u) plotted below.
(a) Obt
University of Illinois
Summer 2015
ECE 313: Exam II
Thursday, July 23, 2015
4:00 p.m. 5:15 p.m.
1013 ECEB
Name: (in BLOCK CAPITALS)
NetID:
Signature:
Instructions
This exam is closed book and closed n
University of Illinois
Summer 2015
ECE 313: Final Exam
Friday, August 7, 2015
8:00 a.m. 11:00 a.m.
Name: (in BLOCK CAPITALS)
NetID:
Signature:
Instructions
This exam is closed book and closed
notes ex
University of Illinois
Summer 2015
ECE 313: Hour Exam I
Thursday, July 9, 2015
4:00 p.m. 5:15 p.m.
1013 ECEB
1. [15 points] The two parts of this problem are unrelated.
(a) Suppose that you buy a vari
University of Illinois
Summer 2015
ECE 313: Final Exam
Friday, August 7, 2015
8:00 a.m. 11:00 a.m.
1. [24 points] For this problem, Dilbert ips a fair coin exactly 5 times each minute and
Wally rolls
University of Illinois
Summer 2015
ECE 313: Hour Exam I
Thursday, July 9, 2015
4:00 p.m. 5:15 p.m.
1013 ECEB
Name: (in BLOCK CAPITALS)
NetID:
Signature:
Instructions
This exam is closed book and close
Probability with Engineering Applications
ECE 313 Course Notes
Bruce Hajek
Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
June 2015
c 2015 by Bruce Hajek
Random
( nk) p (1p)
k
Bernoulli (n , p) p X ( k ) =
nk
pX (k )=
=np
e k
k!
cfw_
1
,a u b
Uniform(a , b) f x ( u )= ba
0 ,else
np
Discrete
np(1p)
Discrete
1
p
Discrete
1p
p2
Discrete
Discrete
Fx (u)=
x
Chapter
3
Sex Research
Chapter Highlights
Issues in Sex Research
Sampling
Reliability of Self-Reports of Sexual Behaviour
Web-Based Surveys
Interviews versus Questionnaires
Self-Reports versus Direct
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