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 parts of this problem, P (A) = 1 .
2
(a) P (AB) = 1 . Even
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Galleries.css - Common Structure
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1. Define each logical structure
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<x4)
(2+21)/36=0.08
5(4<x5)
(1+11)/36=0.03
6(5<x6)
6<x
F
University of Illinois
Spring 2017
ECE313(SectionG)
Homework6Solution
Problem1IfthedistributionfunctionofFisgivenby
WeseethatF(CDFofB)isstairstepfunction.WecalculatethepmfofBforthevalues
0,1,2,3,and3.5asfollows:
P ( 0 )=F ( 0 b<1 ) P ( b <0 )=
1
2
3 1 1
P
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
University of Illinois
Iyer - Lecture 7
ECE 313 - Fall
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 Engineering
University of Illinois
Iyer - Lecture 7
ECE
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 Engineering
University of Illinois
Iyer - Lecture 7
ECE
Important Discrete Distributions:
Poisson, Geometric, & Modified Geometric
ECE 313
Probability with Engineering Applications
Lecture 10
Ravi K. Iyer
Department of Electrical and Computer Engineering
University of Illinois
Iyer - Lecture 10
ECE 313 Fall 20
University of Illinois
Spring 2017
ECE313(SectionG)
Homework4
DueDate:Wednesday,March1,11:00AMintheclass
WriteyournameandNetIDontopofallthepages.Showyourworktogetpartialcredit.
Problem1Foreachofthefollowingcases,determinewhethertherandomvariableis
discret
University of Illinois
Fall 2016
ECE313(SectionF)
Homework4
DueDate:Wednesday,September28,11:00AMintheclass
WriteyournameandNetIDontopofallthepages.Showyourworktogetpartialcredit.
Problem1Foreachofthefollowingcases,determinewhethertherandomvariableis
disc
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],
.
else.
0
(a) Obtain the value of c in order for fX (u)
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) Obtain the constant c for fX (u) to be a valid pdf.
Soluti
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 notes except that one 8.511 sheet of notes is permitted:
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 except that two 8.511 sheets
of notes is permitted: both
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 variety pack of gum, which has 10 pieces of gum. You know 4
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 multiple fair dice simultaneously multiple times.
For e
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 closed notes except that one 8.511 sheet of notes is permitt
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
All rights reserved. Permission is hereby given to free
Random
( nk) p (1p)
k
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np
Discrete
np(1p)
Discrete
1
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Discrete
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p2
Discrete
Discrete
Fx (u)=
xa
,
ba
a+b
2
for x [a , b]
cfw_
t
f x ( u )= e ,t 0
0 ,
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 Observations
Extraneous Factors
Ethical Issues
Sexual B
University of Illinois
Fall 2016
ECE 313: Exam I
Wednesday, October 5, 2016
8:45 p.m. 10:00 p.m.
A-C will go to room ECEB 1013
D-I will go to room ECEB 1015
J-Z will go to room ECEB 1002
1. (a) The probability mass function should sum up to 1. Therefore,
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