F IRST NAME :
L AST NAME :
ID#:
U NIVERSITY OF T ORONTO
FACULTY OF A PPLIED S CIENCE AND E NGINEERING
Midterm Examination, February 25, 2008
Third Year Electrical and Computer Engineering
ECE 302S Probability and Random Processes
Examination Type: D
Exami
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ECE302
Problem Set 11
For Dec. 2nd and 5th 2016
Fall 2016
Comment: This problem can be done in two ways: via the CDF and by first conditioning on Y = y and then
averaging over Y. Try to do it both ways though, in the tutorial, I expect you will only have
ECE302
Problem Set 4
For October 14 and October 17th 2016
th
Fall 2016
14. Let X be a Binomial random variable with parameters n and p, where n is the number of Bernoulli trials, and
p is the probability of success in each trial. Show that E[x] = np, and
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FIRST NAME: LAST NAME: ID#:
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
Midterm Examination, 19:10 - 21:00, February 25, 2014
Electrical and Computer Engineering
ECE 302$ Probability and Random Processes
Examination Type: D
Examiner:
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of your last name in
this box:
F IRST NAME :
L AST NAME :
ID#:
U NIVERSITY OF T ORONTO
FACULTY OF A PPLIED S CIENCE AND E NGINEERING
ECE 302S Probability and Random Processes
Electrical and Computer Engineering
Final Examination, 9:30
F IRST NAME :
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ID#:
U NIVERSITY OF T ORONTO
FACULTY OF A PPLIED S CIENCE AND E NGINEERING
Midterm Examination, March 1, 2010
Electrical and Computer Engineering
ECE 302S Probability and Random Processes
Examination Type: D
Examiner: B. Liang
I
Homework Set #11 Solutions
Note: These solutions are intentionally abbreviated; you should attempt to work out the problems on your own and ll in the gaps.
Problems from Chapter 7:
1. In both cases, E[X + Y + Z] = E[X] + E[Y ] + E[Z] = 0. a) V AR(X + Y +
Homework Set #10 Solutions
Note: These solutions are intentionally abbreviated; you should attempt to work out the problems on your own and ll in the gaps.
Problems from Chapter 5:
5.76.
cfw_
x=
1
1
w.p.
w.p.
1
4
3
4
, y=
X w.p. 1 p pe
X w.p. p
0 w.p. pe
Enter the rst letter
of your last name in
this box:
F IRST NAME :
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ID#:
U NIVERSITY OF T ORONTO
FACULTY OF A PPLIED S CIENCE AND E NGINEERING
Final Examination, April 23, 2008
Third Year Electrical and Computer Engineering
ECE 302S Probability
Homework Set #9 Solutions
Note: These solutions are intentionally abbreviated; you should attempt to work out the problems on your own and ll in the gaps.
Problems from Chapter 5:
5.40. (i): Not independent because PX,Y (1, 1) = 1/6 = PX (1)PY (1) = 1/9
(
University of Toronto
Department of Electrical and Computer Engineering
ECE 314
Experiment: # 4
Transformers
Objectives of the Experiment
1. To study the operating principles of a transformer; transformer equivalent circuit
modelling, the -I (B-H) charact