Mathematics Department, UCLA T. Richthammer
winter 09, sheet 5 Jan 30, 2009
Homework assignments: Math 170A Probability, Sec. 1
051. An apartment complex is equipped with an alarm system that is suppo
Mathematics Department, UCLA T. Richthammer
winter 09, nal Mar 02, 2009
Final: Math 170A Probability, Sec. 1
1. (6 pts) Consider a probability model with S = cfw_1, 2, 3, 4, P (cfw_1, 2) = 1 , P (cfw_
Probability Theory, Math 170A, - Homework 5
From the textbook solve the problems 16, 22, 24 at the end of the Chapter 2.
Solve the problems 5 and 13 from the Chapter 2 additional exercises at
And also
Probability Theory, Math 170a, Homework 1
From the textbook solve the problems 2, 5-10 at the end of the Chapter 1.
And also the problems below:
Problem 1. Show that for any sets A and B
P(A B) P(A) P
Math 170A Winter 2013
Homework 4
(1) Read sections 2.2, 2.3 and 2.4 from the book. Also: nish reading the excerpt from Silvers book.
(2) Solve problems 1 and 6 from the end of chapter II.
(3) Solve pr
Math 170A Fall 2013
Homework 7
Suggested reading:
Review Chapters I, II, Sections 3.1 and 3.2 from Chapter III and Sections 4.2 and 4.3 from Chapter
IV for the midterm.
The solutions to Problem 3 an
Midterm 1 practice, Math 170a - Lec 3, Fall 2012
Instructor: Toni Antunovi
c
c
Name and student ID:
Question
Points
1
12
2
10
3
10
4
10
5
8
Total:
50
Score
1. (a) (6 points) If = A B , P(A B c ) = 0.6
Probability Theory, Math 170a, Winter 2015, Toni Antunovi c
c
Homework 1
From the textbook solve the problems 2 and 10 at the end of the Chapter
1.
Solve the problems 1, 2, 3 and 5 from the Chapter 1
Probability Theory, Math 170A, - Homework 5
From the textbook solve the problems 16, 22, 24 at the end of the Chapter 2.
Solve the problems 5 and 13 from the Chapter 2 additional exercises at:
http:/w
Mathematics Department, UCLA T. Richthammer
winter 09, sheet 1 Jan 02, 2009
Homework assignments: Math 170A Probability, Sec. 1
001. Let E1 , E2 , . . . be subsets of a universal set S . Draw Venn dia
Probability Theory, Math 170a, Homework 2
Solve the problems 49,50,51,52,53,56,58,60 from the Chapter 1
And also the problems below:
Problem 1. Assume that 0 m n. Give a combinatorial proof that
n
m
n
Probability Theory, Math 170A, - Homework 8, DUE MONDAY NOVEMBER 30
From the textbook solve the problems 6, 7, 11 and 15 at the end of the Chapter 3.
Solve the problems 3, 6, 7, 8 and 14 from the Chap
4.1 Introduction
CHAPTER 4
Probability
While the graphical and numerical methods of Chapters 2 and 3 provide us
with tools for summarizing data, probability theory, the subject of this chapter,
provid
Mathematics Department, UCLA T. Richthammer
winter 09, sheet 10 Mar 06, 2009
Homework assignments: Math 170A Probability, Sec. 1
120. Express the following probabilities in terms of the joint CDF F of
Probability Theory, Math 170A, - Homework 7
From the textbook solve the problems 1 and 2 at the end of the Chapter 3.
And also the problems below:
Problem 1. If X and Y are independent random variable
Chapter 1 Problems
(1) Let S, T, U and S1 , S2 , . . . be sets. Prove that
c
(a) S (T U ) = (S T ) (S U ),
(b)
Si
c
Si .
=
i=1
i=1
(2) Before the early 1990s, a telephone area code in the US consisted
Final practice, Math 170A - Fall 2015
Instructor: Martin Tassy
Name and student ID:
Question
Points
1
10
2
10
3
10
4
10
5
10
6
10
7
10
8
10
9
10
10
10
Total:
100
Score
1. (a) (2 points) Let A and B be
Final practice, Math 170A - Fall 2015
Instructor: Martin Tassy
Name and student ID:
Question
Points
1
10
2
10
3
10
4
10
5
10
6
10
7
10
8
10
9
10
10
10
Total:
100
Score
1. (a) (2 points) Let A and B be
Probability Theory, Math 170A, Fall 2015 2015, Homework 3
From the textbook solve the problems 17, 23,24,27,30 at the end of the
Chapter 1.
And also the problems below:
Problem 1. If a day is sunny th
Math 170A Winter 2013
Homework 1
(1) Study sections 1.1, 1.2 and 1.3 and the solutions to problems 3, 4 and 12 at the end of the chapter.
(2) Solve the following problems from the end of Chapter I: 7,
Math 170A Winter 2013
Homework 3
(1) Read sections 1.5 and 1.6 (again!), and the scans from Nate Silvers book.
(2) Solve the following problems from the end of chapter I: 52, 53, 54, 49 and 55.
(3) Ho
UCLA: Math 170A
Problem set 2
Fall, 2017
This week on the problem set you will get practice manipulating sets and applying them to probability
models. Especially challenging questions, or questions th
Math 170A Winter 2013
Homework 2
(1) Read sections 1.4, 1.5, 1.6 and the solutions to problems 13 and 47 at the end of the chapter.
(2) Solve the following problems from the end of chapter I: 17, 33,
Probability Theory, Math 170A, - Homework 6
From the textbook solve the problems 25,26,31,32 at the end of the Chapter 2.
Solve the problems 12,14, 15 ,16 from the Chapter 2 additional exercises at:
h
Probability Theory, Math 170A, Fall 2015, Homework 4
From the textbook solve the problems 3 to 7 at the end of the Chapter 2.
And also the problems below:
Problem 1. In a certain soccer tournament you
Probability Theory, Math 170A, Fall 2015 - Homework 9
From the textbook solve the problems 18, 20, 22, 25, 34 from the Chapter 3.
Solve the problems 10, 12, 15, 17 from the Chapter 3 additional exerci
Linear Algebra, Math 170A, Fall 2015, Lec 1 - Course Info
Instructor: Martin Tassy, 5117 Math Sciences Building, [email protected],
Instructor Oce Hours: MWF 10-11am in 6909 Science Building
Lectur
Midterm 2
UCLA: Math 170A, Fall 2017
Instructor: Noah White
Date: 20 November 2017
Version: 1
This exam has 4 questions, for a total of 20 points.
Please print your working and answers neatly.
Writ
UCLA: Math 170A
Problem set 4
Fall, 2017
This week on the problem set you will get practice manipulating random variables and their probability mass
functions. Especially challenging questions, or que
UCLA: Math 170A
Problem set 6
Fall, 2017
This week on the problem set you will get practice calculating joint PMFs and covariance. Especially
challenging questions, or questions that are not appropria
UCLA: Math 170A
Problem set 7
Fall, 2017
This week on the problem set you will get practice with independant random variables. Especially challenging
questions, or questions that are not appropriate f
UCLA: Math 170A
Problem set 6 (solutions)
Fall, 2017
This week on the problem set you will get practice calculating joint PMFs and covariance. Especially
challenging questions, or questions that are n
UCLA: Math 170A
Problem set 1
Fall, 2017
This week on the problem set you will get practice manipulating sets and applying them to probability
models. Especially challenging questions, or questions th
UCLA: Math 170A
Problem set 8
Fall, 2017
This week on the problem set you will get practice with continuous random variables. Especially challenging
questions, or questions that are not appropriate fo