OLEE 131A
Homework #3 Solution
Fall 2010 K. Yao
1. a.
b. P(X=0)=0.07; P(X=1)=.23; P(X=2)=0.57; P(X=3)=0.13. c.
d.
2. a. Ai = cfw_x : 0 x < 1. i=1
b. Since all the Ai 's are mutually exclusive, then Ai
Online EE 131A
Homework #4 Solution
Fall 2010 K. Yao
1. X is a random variable with a binomial distribution with parameter n and p = 0.9 a. Prob. the system will declare an airplane = ( ) 2 P (1 X 2)
Online EE 131A 1. a. S = cfw_1, 2, 3, 4, 5, 6. b. A = cfw_2, 4, 6.
Homework #1 Solution
Fall 2010 K. Yao
c. Ac = cfw_1, 3, 5 "odd number of dots." 2. a. S = set of ordered pairs (x, y) where x, y cfw_
Online EE 131A
Homework #6 Due Nov. 10th
Fall 2010 K. Yao
Read Leon-Garcia (3rd edition), pp. 155-180; 255-278. 1. Problem 4.68, p. 222. 2. Problem 4.88, p. 223. 3. Let X be a Laplacian rv with a pdf
OLEE 131A
Homework #3 Due October 20th Read Leon-Garcia (3rd edition), pp. 96-104; 141-146,
Fall 2010 K. Yao
1. There are three power plants (denoted by i = 1, 2, 3) which can be either working or not
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 4-2
UCLA EE131A (KY) 1
Conditional Probability i
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Homa Esfahanizadeh
Discussion 4
Week of October 23, 2017
Reading: Chapters 4 of Probability, Statistics, and Random Processes by A. Leon
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Homa Esfahanizadeh
Homework 4
Monday, October 23, 2017
Due: Monday, November 6, 2017 by 11:59 pm via CCLE
Reading: Chapter 4
1. The annu
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Homa Esfahanizadeh
Homework 2
Monday, October 09, 2017
Due: Monday, October 16, 2017 by 11:59 pm via CCLE
Reading: Chapter 2
1. A fair s
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 6-1
UCLA EE131A (KY) 1
Random Variable (1)
So f
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 5-2
UCLA EE131A (KY) 1
Binomial Probability Law
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 3 - 1
UCLA EE131A (KY)
1
Lecture 3 -1: More on c
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 3 - 2
UCLA EE131A (KY)
1
Lecture 3 -2: Axioms of
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 4-1
UCLA EE131A (KY) 1
Discrete sample space (1)
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 5-1
UCLA EE131A (KY) 1
Independence of Events (1
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
Homework 3
Monday, October 16, 2017
Due: Monday, October 23, 2017 by 11:59 pm via CCLE
TA: Homa Esfahanizadeh
Reading: Chapter 3 and 4
1. Yo
EE 131A
Probability
Instructor: Lara Dolecek
Discussion Set 2
Monday, October 09, 2017
TA: Homa Esfahanizadeh
Reading: Chapter 2 of Probability, Statistics, and Random Processes by A. Leon-Garcia
1. T
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Ahmed Hareedy
Homework 1 Solutions
Wednesday, January 6, 2016
Due: Wednesday, January 13, 2016
[email protected]
Reading: Chapter 2
1. L
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Ahmed Hareedy
Homework 2
Wednesday, January 13, 2016
Due: Monday, January 25, 2016
[email protected]
Reading: Chapter 2
1. Consider a 26
EE 131A
Probability
Instructor: Lara Dolecek
Discussion Set 2
Thursday January 14, 2016
and Friday January 15, 2016
Reading: Chapter 2 of Probability, Statistics, and Random Processes by A. Leon-Garci
EE 131A
Probability
Instructor: Lara Dolecek
Discussion Set 3
Thursday January 21, 2016
and Friday January 22, 2016
Reading: Chapters 3 and 4 of Probability, Statistics, and Random Processes by A.
Leo
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Homa Esfahanizadeh
Homework 5
Monday, November 6, 2017
Due: Monday, November 13, 2017 by 11:59 pm via CCLE
Reading: Chapter 4
1. Let X b
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
Discussion Set 6
Week of November 6, 2017
TA: Homa Esfahanizadeh
Reading: Chapter 4 of Probability, Statistics, and Random Processes by A. L
EE 131A
Probability
Instructor: Lara Dolecek
Discussion Set 1
Monday, October 02, 2017
TA: Homa Esfahanizadeh
Reading: Chapter 2 of Probability, Statistics, and Random Processes by A. Leon-Garcia
1. (
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Homa Esfahanizadeh
Homework 1
Monday, October 02, 2017
Due: Monday, October 09, 2017 by 5 pm via email to
[email protected]
Readin
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
Discussion Set 3
Monday, October 16, 2017
TA: Homa Esfahanizadeh
Reading: Chapters 3 and 4 of Probability, Statistics, and Random Processes
EE 131A
Probability and Statistics
Instructor: Lara Dolecek
TA: Homa Esfahanizadeh
Discussion 5
Week of October 30, 2017
Reading: Chapters 4 of Probability, Statistics, and Random Processes by A. Leon
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 12-2
UCLA EE131A (KY) 1
Covariance (1)
The cova
EE 131A Probability
Professor Kung Yao Electrical Engineering Department University of California, Los Angeles M.S. On-Line Engineering Program Lecture 12-1
UCLA EE131A (KY) 1
Conditional expectation
Online EE131A TA session : Week 3
TA: Ni-Chun Wang [email protected]
Review : Independence
Events A and B are independent if P(AB)=P(A)P(B). ( ) ( ) ( ). (P(A|B)=P(A); P(B|A)=P(B) general, In general t